38791736100 has 648 divisors, whose sum is σ = 138654609912. Its totient is φ = 9057484800.

The previous prime is 38791736077. The next prime is 38791736101. The reversal of 38791736100 is 163719783.

It can be written as a sum of positive squares in 36 ways, for example, as 28523156544 + 10268579556 = 168888^2 + 101334^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38791736101) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 343289644 + ... + 343289756.

Almost surely, 2^38791736100 is an apocalyptic number.

38791736100 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 38791736100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69327304956).

38791736100 is an abundant number, since it is smaller than the sum of its proper divisors (99862873812).

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

38791736100 is a wasteful number, since it uses less digits than its factorization.

38791736100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 38791736100 in words is "thirty-eight billion, seven hundred ninety-one million, seven hundred thirty-six thousand, one hundred".