3232427212800 has 1224 divisors, whose sum is σ = 12565627873344. Its totient is φ = 822167470080.

The previous prime is 3232427212789. The next prime is 3232427212829. The reversal of 3232427212800 is 82127242323.

3232427212800 is a `hidden beast` number, since 32 + 324 + 2 + 7 + 21 + 280 + 0 = 666.

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, 9157017424 + ... + 9157017776.

Almost surely, 2^{3232427212800} is an apocalyptic number.

3232427212800 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 3232427212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6282813936672).

3232427212800 is an abundant number, since it is smaller than the sum of its proper divisors (9333200660544).

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

3232427212800 is an frugal number, since it uses more digits than its factorization.

3232427212800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 3232427212800 in words is "three trillion, two hundred thirty-two billion, four hundred twenty-seven million, two hundred twelve thousand, eight hundred".