38616920100 has 810 divisors, whose sum is σ = 145644900786. Its totient is φ = 8838720000.

The previous prime is 38616920077. The next prime is 38616920107. The reversal of 38616920100 is 102961683.

38616920100 is a `hidden beast` number, since 3 + 8 + 616 + 9 + 20 + 10 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 37675044 + 38579245056 = 6138^2 + 196416^2 .

It is a tau number, because it is divible by the number of its divisors (810).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38616920107) by changing a digit.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 941876080 + ... + 941876120.

Almost surely, 2^38616920100 is an apocalyptic number.

38616920100 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 38616920100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72822450393).

38616920100 is an abundant number, since it is smaller than the sum of its proper divisors (107027980686).

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

38616920100 is a wasteful number, since it uses less digits than its factorization.

38616920100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 38616920100 in words is "thirty-eight billion, six hundred sixteen million, nine hundred twenty thousand, one hundred".