3813793087167 has 96 divisors (see below), whose sum is σ = 6787530086400. Its totient is φ = 2108080598400.

The previous prime is 3813793087133. The next prime is 3813793087271. The reversal of 3813793087167 is 7617803973183.

3813793087167 is a `hidden beast` number, since 38 + 137 + 9 + 308 + 7 + 167 = 666.

It is not a de Polignac number, because 3813793087167 - 2¹⁸ = 3813792825023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3813793083167) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98863059 + ... + 98901627.

It is an arithmetic number, because the mean of its divisors is an integer number (70703438400).

Almost surely, 2^{3813793087167} is an apocalyptic number.

3813793087167 is a deficient number, since it is larger than the sum of its proper divisors (2973736999233).

3813793087167 is a wasteful number, since it uses less digits than its factorization.

3813793087167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41034 (or 41021 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 3813793087167 in words is "three trillion, eight hundred thirteen billion, seven hundred ninety-three million, eighty-seven thousand, one hundred sixty-seven".