38715186872320 has 144 divisors (see below), whose sum is σ = 106189834349088. Its totient is φ = 13273776783360.

The previous prime is 38715186872309. The next prime is 38715186872353. The reversal of 38715186872320 is 2327868151783.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 367900 + ... + 8807140.

It is an arithmetic number, because the mean of its divisors is an integer number (737429405202).

Almost surely, 2^{38715186872320} 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 38715186872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53094917174544).

38715186872320 is an abundant number, since it is smaller than the sum of its proper divisors (67474647476768).

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

38715186872320 is an frugal number, since it uses more digits than its factorization.

38715186872320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8439287 (or 8439255 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 61.

The spelling of 38715186872320 in words is "thirty-eight trillion, seven hundred fifteen billion, one hundred eighty-six million, eight hundred seventy-two thousand, three hundred twenty".