3221125526624 has 192 divisors, whose sum is σ = 6625301760000. Its totient is φ = 1540552753152.

The previous prime is 3221125526611. The next prime is 3221125526659. The reversal of 3221125526624 is 4266255211223.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6455161127 + ... + 6455161625.

It is an arithmetic number, because the mean of its divisors is an integer number (34506780000).

Almost surely, 2^{3221125526624} 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 3221125526624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3312650880000).

3221125526624 is an abundant number, since it is smaller than the sum of its proper divisors (3404176233376).

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

3221125526624 is a wasteful number, since it uses less digits than its factorization.

3221125526624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1069 counting only the distinct ones).

The product of its digits is 345600, while the sum is 41.

The spelling of 3221125526624 in words is "three trillion, two hundred twenty-one billion, one hundred twenty-five million, five hundred twenty-six thousand, six hundred twenty-four".