331883136 has 256 divisors, whose sum is σ = 1079568000. Its totient is φ = 99753984.

The previous prime is 331883113. The next prime is 331883143. The reversal of 331883136 is 631388133.

331883136 is a `hidden beast` number, since 331 + 8 + 8 + 313 + 6 = 666.

It is a super-2 number, since 2×331883136² = 220292831922388992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 331883136.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3728980 + ... + 3729068.

Almost surely, 2^331883136 is an apocalyptic number.

331883136 is a gapful number since it is divisible by the number (36) 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 331883136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539784000).

331883136 is an abundant number, since it is smaller than the sum of its proper divisors (747684864).

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

331883136 is a wasteful number, since it uses less digits than its factorization.

331883136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 190 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 331883136 is about 18217.6600034143. The cubic root of 331883136 is about 692.3543019559.

The spelling of 331883136 in words is "three hundred thirty-one million, eight hundred eighty-three thousand, one hundred thirty-six".