3120960852576 has 1920 divisors, whose sum is σ = 12206557440000. Its totient is φ = 777362116608.

The previous prime is 3120960852539. The next prime is 3120960852593. The reversal of 3120960852576 is 6752580690213.

3120960852576 is a `hidden beast` number, since 3 + 1 + 2 + 0 + 9 + 60 + 8 + 5 + 2 + 576 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 11267006550 + ... + 11267006826.

It is an arithmetic number, because the mean of its divisors is an integer number (6357582000).

Almost surely, 2^{3120960852576} is an apocalyptic number.

3120960852576 is a gapful number since it is divisible by the number (36) 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 3120960852576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6103278720000).

3120960852576 is an abundant number, since it is smaller than the sum of its proper divisors (9085596587424).

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

3120960852576 is a wasteful number, since it uses less digits than its factorization.

3120960852576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 3120960852576 in words is "three trillion, one hundred twenty billion, nine hundred sixty million, eight hundred fifty-two thousand, five hundred seventy-six".