3312496800 has 432 divisors, whose sum is σ = 12386582208. Its totient is φ = 831283200.

The previous prime is 3312496799. The next prime is 3312496813. The reversal of 3312496800 is 86942133.

3312496800 is a `hidden beast` number, since 331 + 249 + 6 + 80 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13744680 + ... + 13744920.

It is an arithmetic number, because the mean of its divisors is an integer number (28672644).

Almost surely, 2^3312496800 is an apocalyptic number.

3312496800 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 3312496800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6193291104).

3312496800 is an abundant number, since it is smaller than the sum of its proper divisors (9074085408).

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

3312496800 is a wasteful number, since it uses less digits than its factorization.

3312496800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 357 counting only the distinct ones).

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

The square root of 3312496800 is about 57554.2943662764. The cubic root of 3312496800 is about 1490.6825094171.

The spelling of 3312496800 in words is "three billion, three hundred twelve million, four hundred ninety-six thousand, eight hundred".