3687813504 has 96 divisors (see below), whose sum is σ = 10740202200. Its totient is φ = 1214429184.

The previous prime is 3687813497. The next prime is 3687813509. The reversal of 3687813504 is 4053187863.

3687813504 is a `hidden beast` number, since 3 + 68 + 7 + 81 + 3 + 504 = 666.

3687813504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 3687813504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3687813509) 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, 76332 + ... + 114900.

Almost surely, 2^3687813504 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 3687813504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5370101100).

3687813504 is an abundant number, since it is smaller than the sum of its proper divisors (7052388696).

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

3687813504 is a wasteful number, since it uses less digits than its factorization.

3687813504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38672 (or 38657 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 3687813504 is about 60727.3703036777. The cubic root of 3687813504 is about 1544.9804327179.

The spelling of 3687813504 in words is "three billion, six hundred eighty-seven million, eight hundred thirteen thousand, five hundred four".