3218401135872 has 432 divisors, whose sum is σ = 10078878217408. Its totient is φ = 981831352320.

The previous prime is 3218401135867. The next prime is 3218401135907. The reversal of 3218401135872 is 2785311048123.

3218401135872 is a `hidden beast` number, since 3 + 2 + 18 + 40 + 1 + 13 + 587 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1978119123 + ... + 1978120749.

Almost surely, 2^{3218401135872} is an apocalyptic number.

3218401135872 is a gapful number since it is divisible by the number (32) 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 3218401135872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5039439108704).

3218401135872 is an abundant number, since it is smaller than the sum of its proper divisors (6860477081536).

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

3218401135872 is a wasteful number, since it uses less digits than its factorization.

3218401135872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186 (or 2169 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 3218401135872 in words is "three trillion, two hundred eighteen billion, four hundred one million, one hundred thirty-five thousand, eight hundred seventy-two".