349379528960 has 144 divisors (see below), whose sum is σ = 1043374614912. Its totient is φ = 108897484800.

The previous prime is 349379528947. The next prime is 349379528989. The reversal of 349379528960 is 69825973943.

It is a super-2 number, since 2×349379528960² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1673861 + ... + 1870980.

It is an arithmetic number, because the mean of its divisors is an integer number (7245657048).

Almost surely, 2^349379528960 is an apocalyptic number.

It is an amenable number.

349379528960 is an abundant number, since it is smaller than the sum of its proper divisors (693995085952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

349379528960 is a wasteful number, since it uses less digits than its factorization.

349379528960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3544880 (or 3544866 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 65.

The spelling of 349379528960 in words is "three hundred forty-nine billion, three hundred seventy-nine million, five hundred twenty-eight thousand, nine hundred sixty".