38349076978167 has 64 divisors (see below), whose sum is σ = 52485867012096. Its totient is φ = 24901062249600.

The previous prime is 38349076978153. The next prime is 38349076978169. The reversal of 38349076978167 is 76187967094383.

It is not a de Polignac number, because 38349076978167 - 2²⁴ = 38349060200951 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 38349076978092 and 38349076978101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38349076978169) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8154170938 + ... + 8154175640.

It is an arithmetic number, because the mean of its divisors is an integer number (820091672064).

Almost surely, 2^{38349076978167} is an apocalyptic number.

38349076978167 is a deficient number, since it is larger than the sum of its proper divisors (14136790033929).

38349076978167 is a wasteful number, since it uses less digits than its factorization.

38349076978167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6620.

The product of its (nonzero) digits is 2304433152, while the sum is 78.

The spelling of 38349076978167 in words is "thirty-eight trillion, three hundred forty-nine billion, seventy-six million, nine hundred seventy-eight thousand, one hundred sixty-seven".