38796163200 has 288 divisors, whose sum is σ = 139536783360. Its totient is φ = 10263214080.

The previous prime is 38796163177. The next prime is 38796163223. The reversal of 38796163200 is 236169783.

38796163200 is a `hidden beast` number, since 3 + 8 + 7 + 9 + 6 + 1 + 632 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (38796163177) and next prime (38796163223).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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, 3652297 + ... + 3662903.

It is an arithmetic number, because the mean of its divisors is an integer number (484502720).

Almost surely, 2^38796163200 is an apocalyptic number.

38796163200 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 38796163200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69768391680).

38796163200 is an abundant number, since it is smaller than the sum of its proper divisors (100740620160).

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

38796163200 is a wasteful number, since it uses less digits than its factorization.

38796163200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10764 (or 10744 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 38796163200 in words is "thirty-eight billion, seven hundred ninety-six million, one hundred sixty-three thousand, two hundred".