3688537038372 has 36 divisors (see below), whose sum is σ = 9360081366636. Its totient is φ = 1224728248320.

The previous prime is 3688537038367. The next prime is 3688537038379. The reversal of 3688537038372 is 2738307358863.

It is a happy number.

3688537038372 is a `hidden beast` number, since 3 + 68 + 8 + 537 + 0 + 3 + 8 + 37 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2514400090596 + 1174136947776 = 1585686^2 + 1083576^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (3688537038379) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199328029 + ... + 199346532.

Almost surely, 2^{3688537038372} is an apocalyptic number.

It is an amenable number.

3688537038372 is an abundant number, since it is smaller than the sum of its proper divisors (5671544328264).

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

3688537038372 is a wasteful number, since it uses less digits than its factorization.

3688537038372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398674828 (or 398674823 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 3688537038372 in words is "three trillion, six hundred eighty-eight billion, five hundred thirty-seven million, thirty-eight thousand, three hundred seventy-two".