331344000 has 512 divisors, whose sum is σ = 1336608000. Its totient is φ = 80179200.

The previous prime is 331343951. The next prime is 331344019. The reversal of 331344000 is 443133.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5615971 + ... + 5616029.

Almost surely, 2^331344000 is an apocalyptic number.

331344000 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 331344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668304000).

331344000 is an abundant number, since it is smaller than the sum of its proper divisors (1005264000).

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

331344000 is a wasteful number, since it uses less digits than its factorization.

331344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 331344000 is about 18202.8569186268. The cubic root of 331344000 is about 691.9791945809.

Adding to 331344000 its reverse (443133), we get a palindrome (331787133).

The spelling of 331344000 in words is "three hundred thirty-one million, three hundred forty-four thousand".