3686904 has 96 divisors (see below), whose sum is σ = 11199600. Its totient is φ = 1123200.

The previous prime is 3686867. The next prime is 3686927. The reversal of 3686904 is 4096863.

It is a super-2 number, since 2×3686904² = 27186522210432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 36454 + ... + 36554.

Almost surely, 2^3686904 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 3686904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5599800).

3686904 is an abundant number, since it is smaller than the sum of its proper divisors (7512696).

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

3686904 is a wasteful number, since it uses less digits than its factorization.

3686904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3686904 is about 1920.1312455142. The cubic root of 3686904 is about 154.4853412429.

The spelling of 3686904 in words is "three million, six hundred eighty-six thousand, nine hundred four".