38080036512 has 576 divisors, whose sum is σ = 135662042880. Its totient is φ = 9889579008.

The previous prime is 38080036507. The next prime is 38080036513. The reversal of 38080036512 is 21563008083.

38080036512 is a `hidden beast` number, since 38 + 0 + 80 + 0 + 36 + 512 = 666.

It is a super-2 number, since 2×38080036512² (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 not an unprimeable number, because it can be changed into a prime (38080036513) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137472918 + ... + 137473194.

It is an arithmetic number, because the mean of its divisors is an integer number (235524380).

Almost surely, 2^38080036512 is an apocalyptic number.

38080036512 is a gapful number since it is divisible by the number (32) 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 38080036512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67831021440).

38080036512 is an abundant number, since it is smaller than the sum of its proper divisors (97582006368).

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

38080036512 is a wasteful number, since it uses less digits than its factorization.

38080036512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 38080036512 in words is "thirty-eight billion, eighty million, thirty-six thousand, five hundred twelve".