3257216800 has 72 divisors (see below), whose sum is σ = 7980332976. Its totient is φ = 1298192640.

The previous prime is 3257216789. The next prime is 3257216827. The reversal of 3257216800 is 86127523.

It is a happy number.

It is a super-2 number, since 2×3257216800² = 21218922564404480000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 219207 + ... + 233593.

It is an arithmetic number, because the mean of its divisors is an integer number (110837958).

Almost surely, 2^3257216800 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 3257216800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3990166488).

3257216800 is an abundant number, since it is smaller than the sum of its proper divisors (4723116176).

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

3257216800 is a wasteful number, since it uses less digits than its factorization.

3257216800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14690 (or 14677 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 3257216800 is about 57072.0316792735. The cubic root of 3257216800 is about 1482.3436206736.

The spelling of 3257216800 in words is "three billion, two hundred fifty-seven million, two hundred sixteen thousand, eight hundred".