3838516152175 has 48 divisors (see below), whose sum is σ = 5163750248832. Its totient is φ = 2819092889600.

The previous prime is 3838516152169. The next prime is 3838516152181. The reversal of 3838516152175 is 5712516158383.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3838516152169) and next prime (3838516152181).

It is not a de Polignac number, because 3838516152175 - 2⁷ = 3838516152047 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93952602 + ... + 93993448.

It is an arithmetic number, because the mean of its divisors is an integer number (107578130184).

Almost surely, 2^{3838516152175} is an apocalyptic number.

3838516152175 is a deficient number, since it is larger than the sum of its proper divisors (1325234096657).

3838516152175 is a wasteful number, since it uses less digits than its factorization.

3838516152175 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46308 (or 46303 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 55.

The spelling of 3838516152175 in words is "three trillion, eight hundred thirty-eight billion, five hundred sixteen million, one hundred fifty-two thousand, one hundred seventy-five".