3222645624 has 96 divisors (see below), whose sum is σ = 9584864640. Its totient is φ = 970056000.

The previous prime is 3222645623. The next prime is 3222645631. The reversal of 3222645624 is 4265462223.

3222645624 is a `hidden beast` number, since 3 + 2 + 2 + 2 + 645 + 6 + 2 + 4 = 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 (3222645623) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106119 + ... + 133065.

It is an arithmetic number, because the mean of its divisors is an integer number (99842340).

Almost surely, 2^3222645624 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 3222645624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4792432320).

3222645624 is an abundant number, since it is smaller than the sum of its proper divisors (6362219016).

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

3222645624 is a wasteful number, since it uses less digits than its factorization.

3222645624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27121 (or 27114 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 3222645624 is about 56768.3505485231. The cubic root of 3222645624 is about 1477.0805646314.

It can be divided in two parts, 3222 and 645624, that added together give a palindrome (648846).

The spelling of 3222645624 in words is "three billion, two hundred twenty-two million, six hundred forty-five thousand, six hundred twenty-four".