




                                                                    Exhibit 23.4




                       CONSENT OF INDEPENDENT ACCOUNTANTS



We consent to the  incorporation by reference in the registration  statements of
360 Communications Company on Form S-3 (No. 333-21331), Form S-8 (No. 333-1380),
Form S-8 (No.  333-1382) of our report dated February 13, 1998, on our audits of
the  financial  statements  of  the  New  York  SMSA  Limited  Partnership  (the
"Partnership")  as of and for the years ended December 31, 1997 and 1996,  which
report is included in this Annual Report on Form 10-K



                                                        Coopers & Lybrand L.L.P.

New York, New York
March 26, 1998



