38135094100 has 72 divisors (see below), whose sum is σ = 83710376568. Its totient is φ = 15077990400.

The previous prime is 38135094091. The next prime is 38135094131. The reversal of 38135094100 is 149053183.

It can be written as a sum of positive squares in 12 ways, for example, as 22080176836 + 16054917264 = 148594^2 + 126708^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9824160 + ... + 9828040.

It is an arithmetic number, because the mean of its divisors is an integer number (1162644119).

Almost surely, 2^38135094100 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 38135094100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41855188284).

38135094100 is an abundant number, since it is smaller than the sum of its proper divisors (45575282468).

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

38135094100 is a wasteful number, since it uses less digits than its factorization.

38135094100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5005 (or 4998 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The spelling of 38135094100 in words is "thirty-eight billion, one hundred thirty-five million, ninety-four thousand, one hundred".