3321964800 has 972 divisors, whose sum is σ = 15212682576. Its totient is φ = 683827200.

The previous prime is 3321964787. The next prime is 3321964831. The reversal of 3321964800 is 84691233.

3321964800 is a `hidden beast` number, since 3 + 3 + 2 + 1 + 9 + 648 + 0 + 0 = 666.

It is a super-2 number, since 2×3321964800² = 22070900264878080000, which contains 22 as substring.

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 107 ways as a sum of consecutive naturals, for example, 31046347 + ... + 31046453.

It is an arithmetic number, because the mean of its divisors is an integer number (15650908).

Almost surely, 2^3321964800 is an apocalyptic number.

3321964800 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 3321964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7606341288).

3321964800 is an abundant number, since it is smaller than the sum of its proper divisors (11890717776).

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

3321964800 is a wasteful number, since it uses less digits than its factorization.

3321964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 135 counting only the distinct ones).

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

The square root of 3321964800 is about 57636.4884426524. The cubic root of 3321964800 is about 1492.1014145690.

The spelling of 3321964800 in words is "three billion, three hundred twenty-one million, nine hundred sixty-four thousand, eight hundred".