3838516165617 has 32 divisors (see below), whose sum is σ = 5980714721280. Its totient is φ = 2144646728640.

The previous prime is 3838516165613. The next prime is 3838516165619. The reversal of 3838516165617 is 7165616158383.

It is a happy number.

It is not a de Polignac number, because 3838516165617 - 2² = 3838516165613 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3838516165613) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11060934 + ... + 11402687.

It is an arithmetic number, because the mean of its divisors is an integer number (186897335040).

Almost surely, 2^{3838516165617} is an apocalyptic number.

It is an amenable number.

3838516165617 is a deficient number, since it is larger than the sum of its proper divisors (2142198555663).

3838516165617 is a wasteful number, since it uses less digits than its factorization.

3838516165617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22463813.

The product of its digits is 21772800, while the sum is 60.

The spelling of 3838516165617 in words is "three trillion, eight hundred thirty-eight billion, five hundred sixteen million, one hundred sixty-five thousand, six hundred seventeen".