3120034472928 has 144 divisors (see below), whose sum is σ = 9802973115936. Its totient is φ = 936276295680.

The previous prime is 3120034472917. The next prime is 3120034472941. The reversal of 3120034472928 is 8292744300213.

3120034472928 is a `hidden beast` number, since 3 + 12 + 0 + 0 + 344 + 7 + 292 + 8 = 666.

3120034472928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3120034472928² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13740913 + ... + 13966128.

It is an arithmetic number, because the mean of its divisors is an integer number (68076202194).

Almost surely, 2^{3120034472928} is an apocalyptic number.

It is an amenable number.

3120034472928 is an abundant number, since it is smaller than the sum of its proper divisors (6682938643008).

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

3120034472928 is a wasteful number, since it uses less digits than its factorization.

3120034472928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27707097 (or 27707086 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 3120034472928 in words is "three trillion, one hundred twenty billion, thirty-four million, four hundred seventy-two thousand, nine hundred twenty-eight".