3838312538128 has 80 divisors (see below), whose sum is σ = 7705690026496. Its totient is φ = 1850222684160.

The previous prime is 3838312538059. The next prime is 3838312538153. The reversal of 3838312538128 is 8218352138383.

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, 349154200 + ... + 349165192.

Almost surely, 2^{3838312538128} 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 3838312538128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3852845013248).

3838312538128 is an abundant number, since it is smaller than the sum of its proper divisors (3867377488368).

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

3838312538128 is a wasteful number, since it uses less digits than its factorization.

3838312538128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13632 (or 13626 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 55.

The spelling of 3838312538128 in words is "three trillion, eight hundred thirty-eight billion, three hundred twelve million, five hundred thirty-eight thousand, one hundred twenty-eight".