3125872512 has 256 divisors, whose sum is σ = 10623667200. Its totient is φ = 886339584.

The previous prime is 3125872511. The next prime is 3125872537. The reversal of 3125872512 is 2152785213.

It is a super-2 number, since 2×3125872512² = 19542157922554380288, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3125872511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3797733 + ... + 3798555.

It is an arithmetic number, because the mean of its divisors is an integer number (41498700).

Almost surely, 2^3125872512 is an apocalyptic number.

3125872512 is a gapful number since it is divisible by the number (32) 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 3125872512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5311833600).

3125872512 is an abundant number, since it is smaller than the sum of its proper divisors (7497794688).

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

3125872512 is a wasteful number, since it uses less digits than its factorization.

3125872512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 992 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 3125872512 is about 55909.5028774179. The cubic root of 3125872512 is about 1462.1449226085.

The spelling of 3125872512 in words is "three billion, one hundred twenty-five million, eight hundred seventy-two thousand, five hundred twelve".