3726564412100 has 36 divisors (see below), whose sum is σ = 8562329764884. Its totient is φ = 1402941895680.

The previous prime is 3726564412093. The next prime is 3726564412139. The reversal of 3726564412100 is 12144656273.

It can be written as a sum of positive squares in 6 ways, for example, as 8015262784 + 3718549149316 = 89528^2 + 1928354^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1096046657 + ... + 1096050056.

It is an arithmetic number, because the mean of its divisors is an integer number (237842493469).

Almost surely, 2^{3726564412100} is an apocalyptic number.

It is an amenable number.

3726564412100 is an abundant number, since it is smaller than the sum of its proper divisors (4835765352784).

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

3726564412100 is a wasteful number, since it uses less digits than its factorization.

3726564412100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2192096744 (or 2192096737 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The spelling of 3726564412100 in words is "three trillion, seven hundred twenty-six billion, five hundred sixty-four million, four hundred twelve thousand, one hundred".