38164887936 has 672 divisors, whose sum is σ = 140693102280. Its totient is φ = 10241925120.

The previous prime is 38164887883. The next prime is 38164887949. The reversal of 38164887936 is 63978846183.

38164887936 is a `hidden beast` number, since 3 + 81 + 6 + 488 + 79 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 77728651 + ... + 77729141.

Almost surely, 2^38164887936 is an apocalyptic number.

38164887936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38164887936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70346551140).

38164887936 is an abundant number, since it is smaller than the sum of its proper divisors (102528214344).

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

38164887936 is an equidigital number, since it uses as much as digits as its factorization.

38164887936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 520 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 38164887936 in words is "thirty-eight billion, one hundred sixty-four million, eight hundred eighty-seven thousand, nine hundred thirty-six".