3852638664 has 128 divisors (see below), whose sum is σ = 11856768000. Its totient is φ = 1018531584.

The previous prime is 3852638633. The next prime is 3852638687. The reversal of 3852638664 is 4668362583.

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, 123222 + ... + 151290.

It is an arithmetic number, because the mean of its divisors is an integer number (92631000).

Almost surely, 2^3852638664 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 3852638664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5928384000).

3852638664 is an abundant number, since it is smaller than the sum of its proper divisors (8004129336).

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

3852638664 is a wasteful number, since it uses less digits than its factorization.

3852638664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28147 (or 28143 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 51.

The square root of 3852638664 is about 62069.6275484234. The cubic root of 3852638664 is about 1567.6631853694.

The spelling of 3852638664 in words is "three billion, eight hundred fifty-two million, six hundred thirty-eight thousand, six hundred sixty-four".