3853138688 has 144 divisors (see below), whose sum is σ = 9048379200. Its totient is φ = 1603584000.

The previous prime is 3853138669. The next prime is 3853138697. The reversal of 3853138688 is 8868313583.

It is a super-2 number, since 2×3853138688² = 29693355497924722688, which contains 22 as substring.

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, 11040338 + ... + 11040686.

Almost surely, 2^3853138688 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 3853138688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4524189600).

3853138688 is an abundant number, since it is smaller than the sum of its proper divisors (5195240512).

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

3853138688 is a wasteful number, since it uses less digits than its factorization.

3853138688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 520 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 53.

The square root of 3853138688 is about 62073.6553458873. The cubic root of 3853138688 is about 1567.7310034179.

The spelling of 3853138688 in words is "three billion, eight hundred fifty-three million, one hundred thirty-eight thousand, six hundred eighty-eight".