3686304 has 96 divisors (see below), whose sum is σ = 10644480. Its totient is φ = 1112832.

The previous prime is 3686299. The next prime is 3686321. The reversal of 3686304 is 4036863.

3686304 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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78409 + ... + 78455.

It is an arithmetic number, because the mean of its divisors is an integer number (110880).

Almost surely, 2^3686304 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 3686304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5322240).

3686304 is an abundant number, since it is smaller than the sum of its proper divisors (6958176).

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

3686304 is a wasteful number, since it uses less digits than its factorization.

3686304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 3686304 is about 1919.9749998372. The cubic root of 3686304 is about 154.4769605678.

The spelling of 3686304 in words is "three million, six hundred eighty-six thousand, three hundred four".