3852400864 has 48 divisors (see below), whose sum is σ = 8206727760. Its totient is φ = 1769564160.

The previous prime is 3852400837. The next prime is 3852400913. The reversal of 3852400864 is 4680042583.

It is a congruent number.

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, 65832 + ... + 109720.

It is an arithmetic number, because the mean of its divisors is an integer number (170973495).

Almost surely, 2^3852400864 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 3852400864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4103363880).

3852400864 is an abundant number, since it is smaller than the sum of its proper divisors (4354326896).

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

3852400864 is a wasteful number, since it uses less digits than its factorization.

3852400864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44123 (or 44115 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The square root of 3852400864 is about 62067.7119281837. The cubic root of 3852400864 is about 1567.6309305948.

The spelling of 3852400864 in words is "three billion, eight hundred fifty-two million, four hundred thousand, eight hundred sixty-four".