3129490556928 has 480 divisors, whose sum is σ = 10157251104000. Its totient is φ = 956350955520.

The previous prime is 3129490556903. The next prime is 3129490557013. The reversal of 3129490556928 is 8296550949213.

3129490556928 is a `hidden beast` number, since 3 + 1 + 2 + 9 + 49 + 0 + 5 + 569 + 28 = 666.

It is a super-2 number, since 2×3129490556928² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 97692018 + ... + 97724046.

It is an arithmetic number, because the mean of its divisors is an integer number (21160939800).

Almost surely, 2^{3129490556928} is an apocalyptic number.

3129490556928 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3129490556928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5078625552000).

3129490556928 is an abundant number, since it is smaller than the sum of its proper divisors (7027760547072).

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

3129490556928 is a wasteful number, since it uses less digits than its factorization.

3129490556928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32113 (or 32084 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 3129490556928 in words is "three trillion, one hundred twenty-nine billion, four hundred ninety million, five hundred fifty-six thousand, nine hundred twenty-eight".