331964808 has 192 divisors, whose sum is σ = 1034208000. Its totient is φ = 88276608.

The previous prime is 331964791. The next prime is 331964813. The reversal of 331964808 is 808469133.

It is a happy number.

It is a super-2 number, since 2×331964808² = 220401267500953728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 331964808.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1854463 + ... + 1854641.

It is an arithmetic number, because the mean of its divisors is an integer number (5386500).

Almost surely, 2^331964808 is an apocalyptic number.

331964808 is a gapful number since it is divisible by the number (38) 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 331964808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517104000).

331964808 is an abundant number, since it is smaller than the sum of its proper divisors (702243192).

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

331964808 is a wasteful number, since it uses less digits than its factorization.

331964808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 331964808 is about 18219.9014267366. The cubic root of 331964808 is about 692.4110903418.

The spelling of 331964808 in words is "three hundred thirty-one million, nine hundred sixty-four thousand, eight hundred eight".