38152166400 has 396 divisors, whose sum is σ = 141685266632. Its totient is φ = 10172252160.

The previous prime is 38152166323. The next prime is 38152166401. The reversal of 38152166400 is 466125183.

It is a happy number.

38152166400 is a `hidden beast` number, since 3 + 8 + 1 + 5 + 2 + 1 + 6 + 640 + 0 = 666.

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 (38152166401) 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 35 ways as a sum of consecutive naturals, for example, 6217734 + ... + 6223866.

Almost surely, 2^38152166400 is an apocalyptic number.

38152166400 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 38152166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70842633316).

38152166400 is an abundant number, since it is smaller than the sum of its proper divisors (103533100232).

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

38152166400 is an equidigital number, since it uses as much as digits as its factorization.

38152166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6178 (or 6143 counting only the distinct ones).

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

The spelling of 38152166400 in words is "thirty-eight billion, one hundred fifty-two million, one hundred sixty-six thousand, four hundred".