38766872100 has 288 divisors, whose sum is σ = 127291852800. Its totient is φ = 9026035200.

The previous prime is 38766872099. The next prime is 38766872257. The reversal of 38766872100 is 127866783.

It is a self number, because there is not a number n which added to its sum of digits gives 38766872100.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9643891 + ... + 9647909.

It is an arithmetic number, because the mean of its divisors is an integer number (441985600).

Almost surely, 2^38766872100 is an apocalyptic number.

38766872100 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 38766872100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63645926400).

38766872100 is an abundant number, since it is smaller than the sum of its proper divisors (88524980700).

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

38766872100 is a wasteful number, since it uses less digits than its factorization.

38766872100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4163 (or 4156 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 38766872100 in words is "thirty-eight billion, seven hundred sixty-six million, eight hundred seventy-two thousand, one hundred".