331074864 has 120 divisors (see below), whose sum is σ = 1017591120. Its totient is φ = 103845888.

The previous prime is 331074841. The next prime is 331074893. The reversal of 331074864 is 468470133.

It is a super-2 number, since 2×331074864² = 219221131145236992, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63592 + ... + 68600.

It is an arithmetic number, because the mean of its divisors is an integer number (8479926).

Almost surely, 2^331074864 is an apocalyptic number.

331074864 is a gapful number since it is divisible by the number (34) 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 331074864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508795560).

331074864 is an abundant number, since it is smaller than the sum of its proper divisors (686516256).

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

331074864 is a wasteful number, since it uses less digits than its factorization.

331074864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5049 (or 5031 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 331074864 is about 18195.4627311316. The cubic root of 331074864 is about 691.7917891864.

The spelling of 331074864 in words is "three hundred thirty-one million, seventy-four thousand, eight hundred sixty-four".