38860387116100 has 81 divisors (see below), whose sum is σ = 92691687888093. Its totient is φ = 14130800508000.

The previous prime is 38860387116053. The next prime is 38860387116101. The reversal of 38860387116100 is 161178306883.

The square root of 38860387116100 is 6233810.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 13989739361796 + 24870647754304 = 3740286^2 + 4987048^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38860387116101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 685690765 + ... + 685747435.

Almost surely, 2^{38860387116100} is an apocalyptic number.

38860387116100 is the 6233810-th square number.

It is an amenable number.

38860387116100 is an abundant number, since it is smaller than the sum of its proper divisors (53831300771993).

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

38860387116100 is an frugal number, since it uses more digits than its factorization.

38860387116100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113378 (or 56689 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 52.

The spelling of 38860387116100 in words is "thirty-eight trillion, eight hundred sixty billion, three hundred eighty-seven million, one hundred sixteen thousand, one hundred".