3642922624 has 64 divisors (see below), whose sum is σ = 8085744000. Its totient is φ = 1620613120.

The previous prime is 3642922603. The next prime is 3642922637. The reversal of 3642922624 is 4262292463.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38652 + ... + 93700.

It is an arithmetic number, because the mean of its divisors is an integer number (126339750).

Almost surely, 2^3642922624 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 3642922624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4042872000).

3642922624 is an abundant number, since it is smaller than the sum of its proper divisors (4442821376).

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

3642922624 is a wasteful number, since it uses less digits than its factorization.

3642922624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55121 (or 55109 counting only the distinct ones).

The product of its digits is 248832, while the sum is 40.

The square root of 3642922624 is about 60356.6286666179. The cubic root of 3642922624 is about 1538.6859291245.

The spelling of 3642922624 in words is "three billion, six hundred forty-two million, nine hundred twenty-two thousand, six hundred twenty-four".