3431104607920 has 80 divisors (see below), whose sum is σ = 8702863329312. Its totient is φ = 1247626465280.

The previous prime is 3431104607911. The next prime is 3431104607939. The reversal of 3431104607920 is 297064011343.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×3431104607920³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 29450904 + ... + 29567176.

Almost surely, 2^{3431104607920} is an apocalyptic number.

It is an amenable number.

3431104607920 is an abundant number, since it is smaller than the sum of its proper divisors (5271758721392).

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

3431104607920 is a wasteful number, since it uses less digits than its factorization.

3431104607920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149830 (or 149824 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The spelling of 3431104607920 in words is "three trillion, four hundred thirty-one billion, one hundred four million, six hundred seven thousand, nine hundred twenty".