NUVEEN UNIT TRUSTS SERIES 3
485BPOS, 1999-04-23
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                               NUVEEN UNIT TRUSTS
SERIES 3


Nuveen U.S. Treasury Trust, Series 4 (Intermediate)                 39,999 Units

FIXED INCOME PROSPECTUS - PART TWO
DATED FEBRUARY 28, 1999

NOTE: This Prospectus Part Two may not be distributed unless accompanied 
by Part One.

Currently Offered at Public Offering Price plus interest accrued to the date of
settlement. Minimum purchase -- either $5,000 or 50 Units ($1,000 or 10 Units
for Traditional and Roth IRA purchases and $500 or nearest whole number of Units
whose value is less than $500 for Education IRA purchases), whichever is less.

THE UNITS of fractional undivided interest in the Nuveen Unit Trust being
offered hereby are issued and outstanding Units that have been reacquired by
John Nuveen & Co. Incorporated either by purchase of Units tendered to the
Trustee for redemption or by purchase in the open market. The price paid in each
instance was not less than the Redemption Price determined as provided in Part
One under the caption "How Units May Be Redeemed Without Charge." The Units are
being offered at the Public Offering Price computed in the manner described in
Part One under the caption "Public Offering Price." Any profit or loss resulting
from the sale of Units will accrue to John Nuveen & Co. Incorporated and no
proceeds from the sale will be received by the Trusts.

The Nuveen U.S. Treasury Trust (the "Treasury Trust" or the "Trust") consists of
a portfolio of U.S. Treasury Obligations that are backed by the full faith and
credit of the United States Government. The Treasury Trust passes through to
Unitholders in all states the exemption from state and local personal income
taxes afforded to direct owners of U.S. Treasury Obligations.

The Objective of the U.S. Treasury Trust is to provide current interest income
consistent with preservation of capital and investment flexibility.

The Trust is available to non-resident aliens, and the income from the Trust,
provided certain conditions are met, will be exempt from withholding for U.S.
federal income tax for such foreign investors.


<PAGE>


                    ESSENTIAL INFORMATION REGARDING THE TRUST
                             As of February 28, 1999
            Sponsor and Evaluator......John Nuveen & Co. Incorporated
                      Trustee......The Chase Manhattan Bank


         The income, expense and distribution data set forth below have been
calculated for Unitholders electing to receive monthly distributions.
Unitholders choosing distributions quarterly or semi-annually will receive a
slightly higher net annual interest income because of the lower Trustee's fees
and expenses under such plans.
<TABLE>
<CAPTION>


                                                                                               U.S.
                                                                                             TREASURY
                                                                                              TRUST,
                                                                                             SERIES 4
                                                                                         ----------------
<S>                                                                                         <C>       
Principal Amount of Bonds in Trust.................................................         $4,000,000
Number of Units....................................................................             39,999
Fractional Undivided Interest in Trust Per Unit....................................           1/39,999
Public Offering Price --
    Less than 1,000 Units
     Aggregate Bid Price of Bonds in Trust.........................................         $4,046,104
     Plus Sales Charge (1).........................................................            $66,193
       Total.......................................................................         $4,112,297
     Divided by Number of Units....................................................            $102.81
     Plus Cash Per Unit(2).........................................................               $0.0
     Public Offering Price Per Unit(3).............................................            $102.81
Redemption Price Per Unit (exclusive of accrued interest)..........................            $101.15
Sponsor's Repurchase Price Per Unit (exclusive of accrued interest)................            $101.15
Excess of Public Offering Price Per Unit over Redemption Price Per Unit............              $1.66
Excess of Public Offering Price Per Unit over Sponsor's Repurchase Price Per Unit                $1.66
Par Value Per Unit(4)..............................................................            $100.00
Calculation of Net Annual Interest Income Per Unit
     Annual Interest Income........................................................            $5.5468
     Less Estimated Annual Expense.................................................             $.2634
     Net Annual Interest Income....................................................            $5.2834
Daily Rate of Accrual Per Unit.....................................................           $0.01468
Trustee's Annual Fee per $1,000 principal(6).......................................            $1.3768
Estimated Current Return(5)........................................................              5.24%
Estimated Long Term Return(5)......................................................              4.68%


</TABLE>

Evaluations for purpose of sale, purchase or redemption of Units are made as of
the close of trading on the New York Stock Exchange next following receipt by
John Nuveen & Co. Incorporated of an order for a sale or purchase of units or
receipt by the Trustee of units tendered for redemption.



<PAGE>


                    ESSENTIAL INFORMATION REGARDING THE TRUST
                                   (CONTINUED)

<TABLE>
<CAPTION>

GENERAL INFORMATION

<S>                                                                 <C>    
Record Dates.........................................................See "Distributions to Unitholders" in Part One
Distribution Dates...................................................See "Distributions to Unitholders" in Part One
Minimum Principal Distribution.......................................................................$0.10 per Unit
Date Trust Established.............................................................................November 5, 1997
Mandatory Termination Date.................................See "Amendment and Termination of Indenture" in Part One
Minimum Value of Trust.....................................See "Amendment and Termination of Indenture" in Part One
Sponsor's Annual Evaluation Fee..........................................$0.170 per $1000 principal amount of Bonds

</TABLE>

- ----------------------
(1)  See "Public Offering Price" in Part One for the method by which the sales
     charge is calculated.
(2)  This amount represents cash held by the Trust (or an advancement of cash to
     the Trust by the Trustee) which may amount to less than $0.01 per Unit and
     is added to (or deducted from) the Public Offering Price.
(3)  Units are offered at the Public Offering Price plus accrued interest to the
     date of settlement (three business days after purchase). On the above date
     there was added to the Public Offering Price of the U.S. Treasury Trust,
     Series 4, $102.81, accrued interest to the settlement date of $0.08 for a
     total price of $102.89.
(4)  Par value per Unit is each Unit's pro rata share of aggregate principal
     amount of Bonds in the Trust adjusted to reflect cash, if any, held in or
     advanced to the Principal Account.
(5)  See "Estimated Long Term Return and Estimated Current Return" in Part One
     for an explanation of these returns. 
(6)  The Trustee's Annual Fee per $1000 principal amount of Bonds set forth 
     above is calculated for Unitholders electing the monthly plan of 
     distribution. The Trustee's Annual Fee per $1000 principal amount of 
     Bonds for U.S. Treasury Trust, Series 4 will be $1.2568 under the 
     quarterly distribution option and $1.0618 under the semi-annual 
     distribution option.


<PAGE>


                          NUVEEN UNIT TRUSTS, SERIES 3
               NUVEEN U.S. TREASURY TRUST, SERIES 4 (INTERMEDIATE)

                             STATEMENT OF NET ASSETS

                                OCTOBER 31, 1998
<TABLE>
<CAPTION>

ASSETS:
<S>                                                                                                     <C>       
     Investments in securities, at market value                                                         $4,191,650
        (Cost $3,997,162) (Note 1).....................................................
     Accrued interest receivable.......................................................                     45,616
     Other assets......................................................................                      4,800
                                                                                                        ----------
                 Total assets..........................................................                  4,242,066
                                                                                                         =========

LIABILITIES:
     Advance from trustee..............................................................                     12,122
     Accrued trustee and evaluator fees................................................                      -    
     Other accrued liabilities.........................................................                      2,000
                                                                                                        ----------
                  Total liabilities....................................................                     14,122
                                                                                                        ----------
                  Net assets, applicable to 39,999 units of fractional undivided
                     interest outstanding..............................................                 $4,227,944
                                                                                                        ==========


    NET ASSETS, REPRESENTED BY:
     Cost to original investors of 39,999 units sold...................................                 $4,187,035
         Less initial underwriting commission (Note 1).................................                  (205,165)
                                                                                                        ----------
                                                                                                         3,981,870
     Undistributed net investment income...............................................                     51,586
     Unrealized appreciation of investments............................................                    194,488
                                                                                                        ----------
                                                                                                        $4,227,944
                                                                                                        ==========
</TABLE>
<TABLE>
<CAPTION>

NET ASSET VALUE PER UNIT:
                                                                               NET ASSET VALUE PER UNIT
                                                                  ----------------------------------------------------
                                                                        BEFORE
                  TYPE OF                           UNITS               ACCRUED            ACCRUED
            INCOME DISTRIBUTION                   OUTSTANDING           INTEREST           INTEREST           TOTAL
            -------------------                   -----------           --------           --------           -----

<S>                                                        <C>               <C>                   <C>        <C>    
Monthly...................................                 30,171            $104.41               .47        $104.88
Quarterly.................................                  3,367             104.41              1.37         105.78
Semi-Annual...............................                  6,461             104.41              2.73         107.14
                                                           -------           =======             =====        =======
                                                           39,999
                                                           ======
</TABLE>

See accompanying notes to financial statements.


<PAGE>


                          NUVEEN UNIT TRUSTS, SERIES 3
               NUVEEN U.S. TREASURY TRUST, SERIES 4 (INTERMEDIATE)

               STATEMENTS OF OPERATIONS AND CHANGES IN NET ASSETS

           FOR THE PERIOD NOVEMBER 5, 1997(COMMENCEMENT OF OPERATIONS)
                            THROUGH OCTOBER 31, 1998


<TABLE>
<CAPTION>

STATEMENT OF OPERATIONS
<S>                                                                                            <C>
Investment income (Note 1):
     Interest income..........................................................                  $192,633
                                                                                               ---------
     Expenses (Note 3):
         Trustee fees and expenses............................................                     5,425
         Evaluator fees.......................................................                       468
         Other expenses.......................................................                     1,200
                                                                                               ---------
              Total expenses..................................................                     7,093
                                                                                               ---------
                  Net investment income.......................................                   185,540

Net change in unrealized appreciation or
     depreciation of investments..............................................                   194,488
                                                                                               ---------
Net increase in net asset
   from operations............................................................                  $380,028
                                                                                               =========

STATEMENT OF CHANGES IN NET ASSETS
Operations:
     Net investment income....................................................                  $185,540
       Net change in unrealized appreciation or
           depreciation of investments........................................                   194,488
                                                                                               ---------
            Net increase in net assets from operations........................                   380,028
Issuance of additional units .................................................                 3,488,193
Distributions to unitholders from net investment income.......................                 (133,954)
                                                                                               ---------

Total increase in net assets..................................................                 3,734,267
Net assets at beginning of period (Note 1)....................................                   493,677
                                                                                              ----------
Net assets at end of period (including undistributed net income of $51,586)...                $4,227,944
                                                                                              ==========

</TABLE>




See accompanying notes to financial statements.


<PAGE>


                          NUVEEN UNIT TRUSTS, SERIES 3
               NUVEEN U.S. TREASURY TRUST, SERIES 4 (INTERMEDIATE)

                             SCHEDULE OF INVESTMENTS

                                OCTOBER 31, 1998
<TABLE>
<CAPTION>

                                                                                                     CARRYING
                                                                                                       VALUE
                                                                                                     AT MARKET
      PRINCIPAL            NAME OF ISSUER AND TITLE OF ISSUE         COUPON        MATURITY        (BID PRICES)
    ------------      -------------------------------------------    ------     --------------  ---------------
    <S>               <C>                                            <C>       <C>                 <C>    
     $80,000          U.S. Treasury STRIPs (2)                       0.000%     Due 02/15/02         $69,320
     720,000          U.S. Treasury Note                             6.250%     Due 02/28/02         761,062
     680,000          U.S. Treasury Note                             6.375%     Due 08/15/02         726,430
     120,000          U.S. Treasury STRIPs (2)                       0.000%     Due 08/15/02         101,640
     680,000          U.S. Treasury Note                             6.250%     Due 02/15/03         729,830
     120,000          U.S. Treasury STRIPs (2)                       0.000%     Due 02/15/03          99,240
     800,000          U.S. Treasury Note                             5.750%     Due 08/15/03         848,000
     800,000          U.S. Treasury Note                             5.875%     Due 02/15/04         856,128
     -------                                                                                     -----------
   $4,000,000                                                                                     $4,191,650
   ==========                                                                                     ==========



</TABLE>


See accompanying notes to Financial Statements and Notes to Schedule of
Investments.


<PAGE>


                          NOTES TO FINANCIAL STATEMENTS

1.       SUMMARY OF SIGNIFICANT ACCOUNTING POLICIES:


         The Treasury Trust commenced operations on November 5, 1997 with
the initial deposit of 5,000 units having a value on that date of $493,677.


         The Trustee is responsible for maintaining the books and records of the
Trust on a cash basis and for safekeeping securities owned by the Trust. The
Sponsor is responsible for preparation of the financial statements in accordance
with generally accepted accounting principles based upon the books and records
provided by the Trustee. The following is a summary of the significant
accounting policies followed by the Trust.


         Security Valuation -- The Bonds are reflected at market value in the
accompanying statement of net assets. The Sponsor determines the market price of
the Bonds in each Trust (1) on the basis of current bid prices of the Bonds
obtained from dealers or brokers (including the Sponsor) who customarily deal in
bonds comparable to those held by the Trust, (2) if bid prices are not available
for any of the Bonds, on the basis of bid prices for comparable bonds, (3) by
causing the value of the Bonds to be determined by others engaged in the
practice of evaluating, quoting or appraising comparable bonds, or (4) by any
combination of the above.


         Unit Valuation -- On the Date of Deposit, the Public Offering Price of
Units was determined by adding a sales charge to the Trustee's determination of
the offering price of the Bonds. The value of Units offered in the secondary
market maintained by the Sponsor is based upon the pro rata share of the bid
price of the Bonds, plus a sales charge determined in accordance with the table
set forth in Part One under the caption "Public Offering Price" based on the
number of years remaining to the maturity of each Bond and adjusted for cash, if
any, held or owed by such Trust.


         The initial underwriting commission and investors' original cost of
Units, as shown on the statement of net assets, are based upon the assumption
that the maximum sales commission was charged for each initial purchase of
Units.


         Income and Expenses -- Income and expenses are recognized on the
accrual basis of accounting. Gains and losses from Bond transactions are
determined on a specific identification basis.


2.       INCOME TAX STATUS:


         The trust is not an association taxable as a corporation for Federal
income tax purposes, and, therefore, has recorded no provision for Federal
income taxes. Each unitholder is considered to be the owner of a pro rata
portion of the Trust under Subpart E, subchapter J of Chapter 1 of the Internal
Revenue Code of 1986 and will have a taxable event each time the Trust disposes
of a bond.




<PAGE>





3.       OPERATING EXPENSES:


         See "Operating Expenses" in Part One of this Prospectus for information
with respect to trustee and evaluator fees and expenses.

4.       USE OF ESTIMATES:


         The preparation of the Trust's financial statements in conformity with
generally accepted accounting principles requires the Sponsor to make estimates
and assumptions that affect the reported amounts of assets and liabilities at
the date of the financial statements and the reported amounts of increases and
decreases in net assets from operations during the reporting period.


                       NOTES TO SCHEDULE(S) OF INVESTMENTS


            1. The Trustee's determination of the offering price of Bonds in the
Trust may be greater or less than the amounts that may be received upon
redemption or maturity of such Bonds. Subject to rules concerning amortization
of bond premium and of original issue discount, gain or loss realized by the
Trustee on disposition of any Bonds will be recognized as taxable capital gain
or loss by Unitholders. (See Part One, "Tax Status of Unitholders.")


            2. This Security has been purchased at a deep discount from the par
value because there is no stated interest income thereon. Securities which pay
no interest are normally described as "zero coupon" securities. Over the life of
Securities purchased at a deep discount, the value of such Securities will
increase such that, upon maturity, the holders of such Securities will receive
100% of the principal amount thereof.


<PAGE>


                    REPORT OF INDEPENDENT PUBLIC ACCOUNTANTS


         To the Board of Directors of John Nuveen & Co. Incorporated and 
Unitholders of Nuveen Unit Trusts, Series 3:


         We have audited the accompanying statement of net assets and schedule
of investments of Nuveen Unit Trusts, Series 3 (consisting of Nuveen U.S.
Treasury Trust, Series 4 (Intermediate)), as of October 31, 1998 and the related
statements of operations and changes in net assets for the period indicated on
the face of the financial statements. These financial statements are the
responsibility of the Sponsor (See Note 1). Our responsibility is to express an
opinion on these financial statements based on our audit.


         We conducted our audit in accordance with generally accepted auditing
standards. Those standards require that we plan and perform the audit to obtain
reasonable assurance about whether the financial statements are free of material
misstatement. An audit includes examining, on a test basis, evidence supporting
the amounts and disclosures in the financial statements. An audit also includes
assessing the accounting principles used and significant estimates made by the
Sponsor, as well as evaluating the overall financial statement presentation. In
addition, securities owned as of October 31, 1998 were confirmed by direct
correspondence with the Trustee. We believe that our audit provides a reasonable
basis for our opinion.


         In our opinion, the financial statements referred to above present
fairly, in all material respects, the financial position of the Nuveen Unit
Trusts, Series 3 (Nuveen U.S. Treasury Trust, Series 4 (Intermediate)), as of
October 31, 1998, the results of their operations and changes in their net
assets for the period indicated on the face of the financial statements, in
conformity with generally accepted accounting principles.



                                                             ARTHUR ANDERSEN LLP




Chicago, Illinois
February 28, 1999


<PAGE>


                             PROSPECTUS -- PART TWO


Part Two must be accompanied by Part One.
- --------------------------------------------------------------------------------

Sponsor                                  John Nuveen & Co. Incorporated
                                         333 West Wacker Drive
                                         Chicago, Illinois 60606
                                         312-917-7700
- --------------------------------------------------------------------------------

                                         Swiss Bank Tower
                                         10 East 50th Street
                                         New York, New York 10022
                                         212-207-2000
- --------------------------------------------------------------------------------

Trustee                                  The Chase Manhattan Bank
                                         4 New York Plaza
                                         New York, New York 10004-2413
                                         800-257-8787
- --------------------------------------------------------------------------------

Legal Counsel                            Chapman and Cutler
  to Sponsor                             111 West Monroe Street
                                         Chicago, Illinois 60603
- --------------------------------------------------------------------------------

Legal Counsel                            Carter, Ledyard & Milburn
  to Trustee                             2 Wall Street
                                         New York, New York 10005
- --------------------------------------------------------------------------------

Independent                              Arthur Andersen LLP
 Public Accountants                      33 West Monroe Street
 for the Trust                           Chicago, Illinois 60603
- --------------------------------------------------------------------------------


         Except as to the statements made herein furnished by the Trustee, the
Trustee has assumed no responsibility for the accuracy, adequacy and
completeness of the information contained in this Prospectus.


         This Prospectus does not contain all of the information set forth in
the registration statement and exhibits relating thereto, filed with the
Securities and Exchange Commission, Washington, D.C., under the Securities Act
of 1933, and to which reference is made.


         No person is authorized to give any information or to make any
representations not contained in this Prospectus; and any information or
representation not contained herein must not be relied upon as having been
authorized by the Trust, the Trustee or the Sponsor. This Prospectus does not
constitute an offer to sell, or a solicitation of an offer to buy, securities in
any state to any person to whom it is not lawful to make such offer in such
state. The Trust is registered as a Unit Investment Trust under the Investment
Company Act of 1940. Such registration does not imply that the Trust or any of
its Units has been guaranteed, sponsored, recommended or approved by the United
States or any state or agency or officer thereof.




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