3125870756352 has 480 divisors, whose sum is σ = 9458844595200. Its totient is φ = 1030537728000.

The previous prime is 3125870756339. The next prime is 3125870756353. The reversal of 3125870756352 is 2536570785213.

3125870756352 is a `hidden beast` number, since 3 + 1 + 2 + 5 + 8 + 70 + 7 + 563 + 5 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3125870756353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6214454533 + ... + 6214455035.

It is an arithmetic number, because the mean of its divisors is an integer number (19705926240).

Almost surely, 2^{3125870756352} is an apocalyptic number.

3125870756352 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 3125870756352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4729422297600).

3125870756352 is an abundant number, since it is smaller than the sum of its proper divisors (6332973838848).

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

3125870756352 is an equidigital number, since it uses as much as digits as its factorization.

3125870756352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 3125870756352 in words is "three trillion, one hundred twenty-five billion, eight hundred seventy million, seven hundred fifty-six thousand, three hundred fifty-two".