3212401536000 has 1056 divisors, whose sum is σ = 12472280211456. Its totient is φ = 792760320000.

The previous prime is 3212401535971. The next prime is 3212401536037. The reversal of 3212401536000 is 6351042123.

3212401536000 is a `hidden beast` number, since 3 + 2 + 1 + 2 + 4 + 0 + 1 + 53 + 600 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 821374045 + ... + 821377955.

Almost surely, 2^{3212401536000} is an apocalyptic number.

3212401536000 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 3212401536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6236140105728).

3212401536000 is an abundant number, since it is smaller than the sum of its proper divisors (9259878675456).

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

3212401536000 is a wasteful number, since it uses less digits than its factorization.

3212401536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4006 (or 3975 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 3212401536000 its reverse (6351042123), we get a palindrome (3218752578123).

The spelling of 3212401536000 in words is "three trillion, two hundred twelve billion, four hundred one million, five hundred thirty-six thousand".