3807136838106 has 128 divisors (see below), whose sum is σ = 9720267148800. Its totient is φ = 1081986232320.

The previous prime is 3807136838077. The next prime is 3807136838117. The reversal of 3807136838106 is 6018386317083.

3807136838106 is a `hidden beast` number, since 3 + 80 + 71 + 368 + 38 + 106 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88845246 + ... + 88888086.

It is an arithmetic number, because the mean of its divisors is an integer number (75939587100).

Almost surely, 2^{3807136838106} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3807136838106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4860133574400).

3807136838106 is an abundant number, since it is smaller than the sum of its proper divisors (5913130310694).

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

3807136838106 is a wasteful number, since it uses less digits than its factorization.

3807136838106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44101 (or 44095 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 3807136838106 in words is "three trillion, eight hundred seven billion, one hundred thirty-six million, eight hundred thirty-eight thousand, one hundred six".