3115807672320 has 1152 divisors, whose sum is σ = 12940527600000. Its totient is φ = 709066358784.

The previous prime is 3115807672247. The next prime is 3115807672339. The reversal of 3115807672320 is 232767085113.

3115807672320 is a `hidden beast` number, since 3 + 1 + 1 + 580 + 7 + 67 + 2 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4728084151 + ... + 4728084809.

It is an arithmetic number, because the mean of its divisors is an integer number (11233096875).

Almost surely, 2^{3115807672320} is an apocalyptic number.

3115807672320 is a gapful number since it is divisible by the number (30) 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 3115807672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6470263800000).

3115807672320 is an abundant number, since it is smaller than the sum of its proper divisors (9824719927680).

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

3115807672320 is a wasteful number, since it uses less digits than its factorization.

3115807672320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 3115807672320 in words is "three trillion, one hundred fifteen billion, eight hundred seven million, six hundred seventy-two thousand, three hundred twenty".