3230164627200 has 648 divisors, whose sum is σ = 13447477618848. Its totient is φ = 724387921920.

The previous prime is 3230164627181. The next prime is 3230164627231. The reversal of 3230164627200 is 27264610323.

3230164627200 is a `hidden beast` number, since 3 + 2 + 3 + 0 + 1 + 6 + 4 + 627 + 20 + 0 = 666.

It is a super-2 number, since 2×3230164627200² (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 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, 21294022 + ... + 21445178.

It is an arithmetic number, because the mean of its divisors is an integer number (20752280276).

Almost surely, 2^{3230164627200} is an apocalyptic number.

3230164627200 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 3230164627200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6723738809424).

3230164627200 is an abundant number, since it is smaller than the sum of its proper divisors (10217312991648).

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

3230164627200 is a wasteful number, since it uses less digits than its factorization.

3230164627200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151249 (or 151227 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 3230164627200 in words is "three trillion, two hundred thirty billion, one hundred sixty-four million, six hundred twenty-seven thousand, two hundred".