3131880960 has 480 divisors, whose sum is σ = 11502120960. Its totient is φ = 724598784.

The previous prime is 3131880959. The next prime is 3131881019. The reversal of 3131880960 is 690881313.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×3131880960² = 19617356695221043200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 24660417 + ... + 24660543.

It is an arithmetic number, because the mean of its divisors is an integer number (23962752).

Almost surely, 2^3131880960 is an apocalyptic number.

3131880960 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 3131880960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5751060480).

3131880960 is an abundant number, since it is smaller than the sum of its proper divisors (8370240000).

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

3131880960 is a wasteful number, since it uses less digits than its factorization.

3131880960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 3131880960 is about 55963.2107727925. The cubic root of 3131880960 is about 1463.0811517539.

The spelling of 3131880960 in words is "three billion, one hundred thirty-one million, eight hundred eighty thousand, nine hundred sixty".