38100271104 has 304 divisors, whose sum is σ = 129184316800. Its totient is φ = 10871635968.

The previous prime is 38100271063. The next prime is 38100271129. The reversal of 38100271104 is 40117200183.

38100271104 is a `hidden beast` number, since 381 + 0 + 0 + 271 + 10 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49544832 + ... + 49545600.

Almost surely, 2^38100271104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38100271104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64592158400).

38100271104 is an abundant number, since it is smaller than the sum of its proper divisors (91084045696).

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

38100271104 is an frugal number, since it uses more digits than its factorization.

38100271104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 38100271104 its reverse (40117200183), we get a palindrome (78217471287).

The spelling of 38100271104 in words is "thirty-eight billion, one hundred million, two hundred seventy-one thousand, one hundred four".