3222135610624 has 144 divisors (see below), whose sum is σ = 7394750496000. Its totient is φ = 1372625436672.

The previous prime is 3222135610591. The next prime is 3222135610657. The reversal of 3222135610624 is 4260165312223.

It is an interprime number because it is at equal distance from previous prime (3222135610591) and next prime (3222135610657).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216432109 + ... + 216446995.

It is an arithmetic number, because the mean of its divisors is an integer number (51352434000).

Almost surely, 2^{3222135610624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3222135610624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3697375248000).

3222135610624 is an abundant number, since it is smaller than the sum of its proper divisors (4172614885376).

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

3222135610624 is a wasteful number, since it uses less digits than its factorization.

3222135610624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15628 (or 15614 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The spelling of 3222135610624 in words is "three trillion, two hundred twenty-two billion, one hundred thirty-five million, six hundred ten thousand, six hundred twenty-four".