38128987267200 has 1536 divisors, whose sum is σ = 149032861286400. Its totient is φ = 9503723520000.

The previous prime is 38128987267181. The next prime is 38128987267207. The reversal of 38128987267200 is 276278982183.

38128987267200 is a `hidden beast` number, since 3 + 8 + 12 + 89 + 87 + 267 + 200 = 666.

It is not an unprimeable number, because it can be changed into a prime (38128987267207) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11310881515 + ... + 11310884885.

It is an arithmetic number, because the mean of its divisors is an integer number (97026602400).

Almost surely, 2^{38128987267200} is an apocalyptic number.

38128987267200 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 38128987267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74516430643200).

38128987267200 is an abundant number, since it is smaller than the sum of its proper divisors (110903874019200).

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

38128987267200 is a wasteful number, since it uses less digits than its factorization.

38128987267200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3579 (or 3556 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 38128987267200 in words is "thirty-eight trillion, one hundred twenty-eight billion, nine hundred eighty-seven million, two hundred sixty-seven thousand, two hundred".