3328572800 has 192 divisors, whose sum is σ = 9951193440. Its totient is φ = 1073971200.

The previous prime is 3328572781. The next prime is 3328572809. The reversal of 3328572800 is 82758233.

3328572800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3328572800² = 22158793769799680000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3328572809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 376430 + ... + 385170.

Almost surely, 2^3328572800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3328572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4975596720).

3328572800 is an abundant number, since it is smaller than the sum of its proper divisors (6622620640).

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

3328572800 is a wasteful number, since it uses less digits than its factorization.

3328572800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8789 (or 8772 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 3328572800 is about 57693.7847605788. The cubic root of 3328572800 is about 1493.0901141589.

The spelling of 3328572800 in words is "three billion, three hundred twenty-eight million, five hundred seventy-two thousand, eight hundred".