38136312720 has 240 divisors, whose sum is σ = 139845049344. Its totient is φ = 9236736000.

The previous prime is 38136312713. The next prime is 38136312749. The reversal of 38136312720 is 2721363183.

38136312720 is a `hidden beast` number, since 3 + 8 + 13 + 631 + 2 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16717980 + ... + 16720260.

Almost surely, 2^38136312720 is an apocalyptic number.

38136312720 is a gapful number since it is divisible by the number (30) 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 38136312720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69922524672).

38136312720 is an abundant number, since it is smaller than the sum of its proper divisors (101708736624).

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

38136312720 is a wasteful number, since it uses less digits than its factorization.

38136312720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4422 (or 4413 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 38136312720 in words is "thirty-eight billion, one hundred thirty-six million, three hundred twelve thousand, seven hundred twenty".