3160625832000 has 5040 divisors, whose sum is σ = 16003670791680. Its totient is φ = 611380224000.

The previous prime is 3160625831999. The next prime is 3160625832029. The reversal of 3160625832000 is 2385260613.

It is a happy number.

3160625832000 is a `hidden beast` number, since 3 + 1 + 6 + 0 + 625 + 8 + 3 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 101955671985 + ... + 101955672015.

Almost surely, 2^{3160625832000} is an apocalyptic number.

3160625832000 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 3160625832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8001835395840).

3160625832000 is an abundant number, since it is smaller than the sum of its proper divisors (12843044959680).

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

3160625832000 is a wasteful number, since it uses less digits than its factorization.

3160625832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 3160625832000 in words is "three trillion, one hundred sixty billion, six hundred twenty-five million, eight hundred thirty-two thousand".