3624666624 has 160 divisors (see below), whose sum is σ = 10868352000. Its totient is φ = 1192568832.

The previous prime is 3624666607. The next prime is 3624666637. The reversal of 3624666624 is 4266664263.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3624666624.

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, 1090437 + ... + 1093755.

It is an arithmetic number, because the mean of its divisors is an integer number (67927200).

Almost surely, 2^3624666624 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 3624666624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5434176000).

3624666624 is an abundant number, since it is smaller than the sum of its proper divisors (7243685376).

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

3624666624 is an equidigital number, since it uses as much as digits as its factorization.

3624666624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3425 (or 3403 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 45.

The square root of 3624666624 is about 60205.2042933167. The cubic root of 3624666624 is about 1536.1113200570. Note that the first 3 decimals are identical.

The spelling of 3624666624 in words is "three billion, six hundred twenty-four million, six hundred sixty-six thousand, six hundred twenty-four".