3230643225600 has 3168 divisors, whose sum is σ = 15167299230720. Its totient is φ = 668860416000.

The previous prime is 3230643225571. The next prime is 3230643225613. The reversal of 3230643225600 is 65223460323.

3230643225600 is a `hidden beast` number, since 3 + 2 + 3 + 0 + 6 + 43 + 2 + 2 + 5 + 600 = 666.

It is a super-2 number, since 2×3230643225600² (a number of 26 digits) 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 287 ways as a sum of consecutive naturals, for example, 17848857510 + ... + 17848857690.

Almost surely, 2^{3230643225600} is an apocalyptic number.

3230643225600 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 3230643225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7583649615360).

3230643225600 is an abundant number, since it is smaller than the sum of its proper divisors (11936656005120).

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

3230643225600 is a wasteful number, since it uses less digits than its factorization.

3230643225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 3230643225600 its reverse (65223460323), we get a palindrome (3295866685923).

The spelling of 3230643225600 in words is "three trillion, two hundred thirty billion, six hundred forty-three million, two hundred twenty-five thousand, six hundred".