3836704027752 has 224 divisors, whose sum is σ = 11417223549600. Its totient is φ = 1206082700928.

The previous prime is 3836704027747. The next prime is 3836704027753. The reversal of 3836704027752 is 2577204076383.

3836704027752 is a `hidden beast` number, since 3 + 8 + 367 + 0 + 4 + 0 + 277 + 5 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3836704027753) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7008723 + ... + 7536285.

Almost surely, 2^{3836704027752} 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 3836704027752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5708611774800).

3836704027752 is an abundant number, since it is smaller than the sum of its proper divisors (7580519521848).

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

3836704027752 is a wasteful number, since it uses less digits than its factorization.

3836704027752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527659 (or 527640 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 3836704027752 in words is "three trillion, eight hundred thirty-six billion, seven hundred four million, twenty-seven thousand, seven hundred fifty-two".