3863632608 has 360 divisors, whose sum is σ = 12717847296. Its totient is φ = 1149603840.

The previous prime is 3863632601. The next prime is 3863632609. The reversal of 3863632608 is 8062363683.

3863632608 is a `hidden beast` number, since 3 + 8 + 6 + 3 + 6 + 32 + 608 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3863632601) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 30422241 + ... + 30422367.

Almost surely, 2^3863632608 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 3863632608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6358923648).

3863632608 is an abundant number, since it is smaller than the sum of its proper divisors (8854214688).

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

3863632608 is a wasteful number, since it uses less digits than its factorization.

3863632608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 3863632608 is about 62158.1258404724. The cubic root of 3863632608 is about 1569.1529377953.

The spelling of 3863632608 in words is "three billion, eight hundred sixty-three million, six hundred thirty-two thousand, six hundred eight".