331930368 has 216 divisors, whose sum is σ = 1193826816. Its totient is φ = 86169600.

The previous prime is 331930349. The next prime is 331930387. The reversal of 331930368 is 863039133.

331930368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (331930349) and next prime (331930387).

It is a super-2 number, since 2×331930368² = 220355538401230848, 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, 176473 + ... + 178343.

It is an arithmetic number, because the mean of its divisors is an integer number (5526976).

Almost surely, 2^331930368 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 331930368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596913408).

331930368 is an abundant number, since it is smaller than the sum of its proper divisors (861896448).

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

331930368 is a wasteful number, since it uses less digits than its factorization.

331930368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1911 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 331930368 is about 18218.9562818511. The cubic root of 331930368 is about 692.3871445680.

The spelling of 331930368 in words is "three hundred thirty-one million, nine hundred thirty thousand, three hundred sixty-eight".