38916587136 has 384 divisors, whose sum is σ = 128847542400. Its totient is φ = 10339811328.

The previous prime is 38916587123. The next prime is 38916587141. The reversal of 38916587136 is 63178561983.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28467925 + ... + 28469291.

It is an arithmetic number, because the mean of its divisors is an integer number (335540475).

Almost surely, 2^38916587136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38916587136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64423771200).

38916587136 is an abundant number, since it is smaller than the sum of its proper divisors (89930955264).

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

38916587136 is a wasteful number, since it uses less digits than its factorization.

38916587136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 1485 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 57.

The spelling of 38916587136 in words is "thirty-eight billion, nine hundred sixteen million, five hundred eighty-seven thousand, one hundred thirty-six".