3687643908096 has 96 divisors (see below), whose sum is σ = 10409629295520. Its totient is φ = 1156907859968.

The previous prime is 3687643908059. The next prime is 3687643908121. The reversal of 3687643908096 is 6908093467863.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 3687643908096.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17548566 + ... + 17757461.

It is an arithmetic number, because the mean of its divisors is an integer number (108433638495).

Almost surely, 2^{3687643908096} is an apocalyptic number.

It is an amenable number.

3687643908096 is an abundant number, since it is smaller than the sum of its proper divisors (6721985387424).

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

3687643908096 is a wasteful number, since it uses less digits than its factorization.

3687643908096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35306069 (or 35306049 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 69.

The spelling of 3687643908096 in words is "three trillion, six hundred eighty-seven billion, six hundred forty-three million, nine hundred eight thousand, ninety-six".