3131799552 has 576 divisors, whose sum is σ = 11447654400. Its totient is φ = 836075520.

The previous prime is 3131799533. The next prime is 3131799569. The reversal of 3131799552 is 2559971313.

3131799552 is a `hidden beast` number, since 3 + 1 + 3 + 1 + 7 + 99 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 3131799498 and 3131799507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101025777 + ... + 101025807.

It is an arithmetic number, because the mean of its divisors is an integer number (19874400).

Almost surely, 2^3131799552 is an apocalyptic number.

3131799552 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 3131799552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5723827200).

3131799552 is an abundant number, since it is smaller than the sum of its proper divisors (8315854848).

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

3131799552 is an equidigital number, since it uses as much as digits as its factorization.

3131799552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 72 counting only the distinct ones).

The product of its digits is 255150, while the sum is 45.

The square root of 3131799552 is about 55962.4834331001. The cubic root of 3131799552 is about 1463.0684748627.

The spelling of 3131799552 in words is "three billion, one hundred thirty-one million, seven hundred ninety-nine thousand, five hundred fifty-two".