331872000 has 144 divisors (see below), whose sum is σ = 1102631712. Its totient is φ = 88473600.

The previous prime is 331871987. The next prime is 331872049. The reversal of 331872000 is 278133.

It is a super-2 number, since 2×331872000² = 220278048768000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94272 + ... + 97728.

Almost surely, 2^331872000 is an apocalyptic number.

331872000 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 331872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551315856).

331872000 is an abundant number, since it is smaller than the sum of its proper divisors (770759712).

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

331872000 is an equidigital number, since it uses as much as digits as its factorization.

331872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3491 (or 3467 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 331872000 is about 18217.3543633536. The cubic root of 331872000 is about 692.3465581219.

The spelling of 331872000 in words is "three hundred thirty-one million, eight hundred seventy-two thousand".