3331012800 has 84 divisors (see below), whose sum is σ = 10928513576. Its totient is φ = 888268800.

The previous prime is 3331012777. The next prime is 3331012813. The reversal of 3331012800 is 82101333.

It is a happy number.

It is a super-2 number, since 2×3331012800² = 22191292547527680000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 342181 + ... + 351780.

Almost surely, 2^3331012800 is an apocalyptic number.

3331012800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3331012800 is an abundant number, since it is smaller than the sum of its proper divisors (7597500776).

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

3331012800 is a wasteful number, since it uses less digits than its factorization.

3331012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693986 (or 693971 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 3331012800 is about 57714.9270119958. The cubic root of 3331012800 is about 1493.4548600788.

The spelling of 3331012800 in words is "three billion, three hundred thirty-one million, twelve thousand, eight hundred".