38128622400 has 1344 divisors, whose sum is σ = 165089433600. Its totient is φ = 8460288000.

The previous prime is 38128622377. The next prime is 38128622401. The reversal of 38128622400 is 422682183.

38128622400 is a `hidden beast` number, since 3 + 8 + 1 + 28 + 622 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×38128622400² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38128622401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 370180749 + ... + 370180851.

It is an arithmetic number, because the mean of its divisors is an integer number (122834400).

Almost surely, 2^38128622400 is an apocalyptic number.

38128622400 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 38128622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82544716800).

38128622400 is an abundant number, since it is smaller than the sum of its proper divisors (126960811200).

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

38128622400 is a wasteful number, since it uses less digits than its factorization.

38128622400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 38128622400 in words is "thirty-eight billion, one hundred twenty-eight million, six hundred twenty-two thousand, four hundred".