3223152400 has 360 divisors, whose sum is σ = 9411288264. Its totient is φ = 1050624000.

The previous prime is 3223152389. The next prime is 3223152437. The reversal of 3223152400 is 42513223.

It can be written as a sum of positive squares in 12 ways, for example, as 262051344 + 2961101056 = 16188^2 + 54416^2 .

It is a super-2 number, since 2×3223152400² = 20777422787251520000, which contains 22 as substring.

It is a congruent number.

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, 31912350 + ... + 31912450.

Almost surely, 2^3223152400 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 3223152400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4705644132).

3223152400 is an abundant number, since it is smaller than the sum of its proper divisors (6188135864).

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

3223152400 is a wasteful number, since it uses less digits than its factorization.

3223152400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 3223152400 is about 56772.8139165217. The cubic root of 3223152400 is about 1477.1579865008.

Adding to 3223152400 its reverse (42513223), we get a palindrome (3265665623).

The spelling of 3223152400 in words is "three billion, two hundred twenty-three million, one hundred fifty-two thousand, four hundred".