349718941600 has 72 divisors (see below), whose sum is σ = 975715862688. Its totient is φ = 119903635200.

The previous prime is 349718941591. The next prime is 349718941639. The reversal of 349718941600 is 6149817943.

It is a super-2 number, since 2×349718941600² (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 11 ways as a sum of consecutive naturals, for example, 31219306 + ... + 31230505.

It is an arithmetic number, because the mean of its divisors is an integer number (13551609204).

Almost surely, 2^349718941600 is an apocalyptic number.

It is an amenable number.

349718941600 is an abundant number, since it is smaller than the sum of its proper divisors (625996921088).

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

349718941600 is a wasteful number, since it uses less digits than its factorization.

349718941600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62449838 (or 62449825 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 52.

The spelling of 349718941600 in words is "three hundred forty-nine billion, seven hundred eighteen million, nine hundred forty-one thousand, six hundred".