331808320 has 56 divisors (see below), whose sum is σ = 797868864. Its totient is φ = 131421696.

The previous prime is 331808299. The next prime is 331808357. The reversal of 331808320 is 23808133.

It is a super-2 number, since 2×331808320² = 220193522442444800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27927 + ... + 37993.

Almost surely, 2^331808320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398934432).

331808320 is an abundant number, since it is smaller than the sum of its proper divisors (466060544).

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

331808320 is a wasteful number, since it uses less digits than its factorization.

331808320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10187 (or 10177 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 331808320 is about 18215.6064955301. The cubic root of 331808320 is about 692.3022725248.

The spelling of 331808320 in words is "three hundred thirty-one million, eight hundred eight thousand, three hundred twenty".