348987925504 has 33 divisors (see below), whose sum is σ = 697672834201. Its totient is φ = 174484510720.

The previous prime is 348987925499. The next prime is 348987925511. The reversal of 348987925504 is 405529789843.

The square root of 348987925504 is 590752.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 16474235904 + 332513689600 = 128352^2 + 576640^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 18894834 + ... + 18913294.

Almost surely, 2^348987925504 is an apocalyptic number.

348987925504 is the 590752-nd square number.

It is an amenable number.

348987925504 is a deficient number, since it is larger than the sum of its proper divisors (348684908697).

348987925504 is an frugal number, since it uses more digits than its factorization.

348987925504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36942 (or 18463 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 64.

Multiplying 348987925504 by its sum of digits (64), we get a square (22335227232256 = 4726016²).

348987925504 divided by its sum of digits (64) gives a square (5452936336 = 73844²).

The spelling of 348987925504 in words is "three hundred forty-eight billion, nine hundred eighty-seven million, nine hundred twenty-five thousand, five hundred four".