3214401117264 has 80 divisors (see below), whose sum is σ = 9475887224640. Its totient is φ = 1042508465280.

The previous prime is 3214401117253. The next prime is 3214401117269. The reversal of 3214401117264 is 4627111044123.

3214401117264 is a `hidden beast` number, since 3 + 21 + 4 + 401 + 1 + 172 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3214401117269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100534602 + ... + 100566569.

It is an arithmetic number, because the mean of its divisors is an integer number (118448590308).

Almost surely, 2^{3214401117264} is an apocalyptic number.

It is an amenable number.

3214401117264 is an abundant number, since it is smaller than the sum of its proper divisors (6261486107376).

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

3214401117264 is a wasteful number, since it uses less digits than its factorization.

3214401117264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201101225 (or 201101213 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 3214401117264 in words is "three trillion, two hundred fourteen billion, four hundred one million, one hundred seventeen thousand, two hundred sixty-four".