3653934624 has 192 divisors, whose sum is σ = 10910592000. Its totient is φ = 1204284672.

The previous prime is 3653934619. The next prime is 3653934649. The reversal of 3653934624 is 4264393563.

It is a self number, because there is not a number n which added to its sum of digits gives 3653934624.

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, 7628017 + ... + 7628495.

It is an arithmetic number, because the mean of its divisors is an integer number (56826000).

Almost surely, 2^3653934624 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 3653934624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5455296000).

3653934624 is an abundant number, since it is smaller than the sum of its proper divisors (7256657376).

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

3653934624 is an equidigital number, since it uses as much as digits as its factorization.

3653934624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 593 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 45.

The square root of 3653934624 is about 60447.7842770105. The cubic root of 3653934624 is about 1540.2347738992.

The spelling of 3653934624 in words is "three billion, six hundred fifty-three million, nine hundred thirty-four thousand, six hundred twenty-four".