38005164 has 36 divisors (see below), whose sum is σ = 97428240. Its totient is φ = 12489120.

The previous prime is 38005157. The next prime is 38005169. The reversal of 38005164 is 46150083.

38005164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (38005169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4879 + ... + 9990.

It is an arithmetic number, because the mean of its divisors is an integer number (2706340).

Almost surely, 2^38005164 is an apocalyptic number.

It is an amenable number.

38005164 is an abundant number, since it is smaller than the sum of its proper divisors (59423076).

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

38005164 is a wasteful number, since it uses less digits than its factorization.

38005164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14950 (or 14945 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 38005164 is about 6164.8328444492. The cubic root of 38005164 is about 336.2127691489.

The spelling of 38005164 in words is "thirty-eight million, five thousand, one hundred sixty-four".