3685584 has 60 divisors (see below), whose sum is σ = 11082624. Its totient is φ = 1052352.

The previous prime is 3685571. The next prime is 3685597. The reversal of 3685584 is 4855863.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3685571) and next prime (3685597).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1569 + ... + 3135.

Almost surely, 2^3685584 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 3685584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5541312).

3685584 is an abundant number, since it is smaller than the sum of its proper divisors (7397040).

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

3685584 is a wasteful number, since it uses less digits than its factorization.

3685584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1592 (or 1579 counting only the distinct ones).

The product of its digits is 115200, while the sum is 39.

The square root of 3685584 is about 1919.7874882393. The cubic root of 3685584 is about 154.4669025572.

The spelling of 3685584 in words is "three million, six hundred eighty-five thousand, five hundred eighty-four".