38086272000 has 528 divisors, whose sum is σ = 156886534272. Its totient is φ = 8703590400.

The previous prime is 38086271999. The next prime is 38086272019. The reversal of 38086272000 is 27268083.

It is a happy number.

38086272000 is a `hidden beast` number, since 3 + 8 + 0 + 8 + 627 + 20 + 0 + 0 = 666.

It is a super-2 number, since 2×38086272000² (a number of 22 digits) contains 22 as substring.

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, 8061639 + ... + 8066361.

Almost surely, 2^38086272000 is an apocalyptic number.

38086272000 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 38086272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78443267136).

38086272000 is an abundant number, since it is smaller than the sum of its proper divisors (118800262272).

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

38086272000 is a wasteful number, since it uses less digits than its factorization.

38086272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4771 (or 4740 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 38086272000 in words is "thirty-eight billion, eighty-six million, two hundred seventy-two thousand".