3681895252104 has 96 divisors (see below), whose sum is σ = 10310266387200. Its totient is φ = 1185770171520.

The previous prime is 3681895252081. The next prime is 3681895252111. The reversal of 3681895252104 is 4012525981863.

3681895252104 is a `hidden beast` number, since 3 + 6 + 8 + 1 + 8 + 9 + 525 + 2 + 104 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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, 22707 + ... + 2713725.

It is an arithmetic number, because the mean of its divisors is an integer number (107398608200).

Almost surely, 2^{3681895252104} 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 3681895252104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5155133193600).

3681895252104 is an abundant number, since it is smaller than the sum of its proper divisors (6628371135096).

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

3681895252104 is a wasteful number, since it uses less digits than its factorization.

3681895252104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2691675 (or 2691668 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 3681895252104 in words is "three trillion, six hundred eighty-one billion, eight hundred ninety-five million, two hundred fifty-two thousand, one hundred four".