3431337073344 has 56 divisors (see below), whose sum is σ = 10087495567920. Its totient is φ = 1143779023872.

The previous prime is 3431337073337. The next prime is 3431337073447. The reversal of 3431337073344 is 4433707331343.

3431337073344 is a `hidden beast` number, since 3 + 43 + 133 + 70 + 73 + 344 = 666.

It is a super-2 number, since 2×3431337073344² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3431337073344.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 992862009 + ... + 992865464.

Almost surely, 2^{3431337073344} is an apocalyptic number.

It is an amenable number.

3431337073344 is an abundant number, since it is smaller than the sum of its proper divisors (6656158494576).

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

3431337073344 is a wasteful number, since it uses less digits than its factorization.

3431337073344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1985727494 (or 1985727478 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 45.

The spelling of 3431337073344 in words is "three trillion, four hundred thirty-one billion, three hundred thirty-seven million, seventy-three thousand, three hundred forty-four".