331300368 has 360 divisors, whose sum is σ = 1173174912. Its totient is φ = 90139392.

The previous prime is 331300357. The next prime is 331300381. The reversal of 331300368 is 863003133.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7048921 + ... + 7048967.

Almost surely, 2^331300368 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 331300368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586587456).

331300368 is an abundant number, since it is smaller than the sum of its proper divisors (841874544).

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

331300368 is a wasteful number, since it uses less digits than its factorization.

331300368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 331300368 is about 18201.6583859823. The cubic root of 331300368 is about 691.9488195411.

The spelling of 331300368 in words is "three hundred thirty-one million, three hundred thousand, three hundred sixty-eight".