38766872106 has 64 divisors (see below), whose sum is σ = 88323903360. Its totient is φ = 12596526720.

The previous prime is 38766872099. The next prime is 38766872257. The reversal of 38766872106 is 60127866783.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2887000 + ... + 2900396.

It is an arithmetic number, because the mean of its divisors is an integer number (1380060990).

Almost surely, 2^38766872106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38766872106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44161951680).

38766872106 is an abundant number, since it is smaller than the sum of its proper divisors (49557031254).

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

38766872106 is a wasteful number, since it uses less digits than its factorization.

38766872106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14756 (or 14750 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 38766872106 in words is "thirty-eight billion, seven hundred sixty-six million, eight hundred seventy-two thousand, one hundred six".