3321152800 has 144 divisors (see below), whose sum is σ = 9397648512. Its totient is φ = 1122508800.

The previous prime is 3321152771. The next prime is 3321152831. The reversal of 3321152800 is 82511233.

It is a super-2 number, since 2×3321152800² = 22060111841895680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 393424 + ... + 401776.

It is an arithmetic number, because the mean of its divisors is an integer number (65261448).

Almost surely, 2^3321152800 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 3321152800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4698824256).

3321152800 is an abundant number, since it is smaller than the sum of its proper divisors (6076495712).

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

3321152800 is a wasteful number, since it uses less digits than its factorization.

3321152800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8451 (or 8438 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 3321152800 is about 57629.4438633586. The cubic root of 3321152800 is about 1491.9798313944.

The spelling of 3321152800 in words is "three billion, three hundred twenty-one million, one hundred fifty-two thousand, eight hundred".