3681664 has 48 divisors (see below), whose sum is σ = 8546580. Its totient is φ = 1575168.

The previous prime is 3681619. The next prime is 3681683. The reversal of 3681664 is 4661863.

3681664 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5979 + ... + 6565.

Almost surely, 2^3681664 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 3681664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4273290).

3681664 is an abundant number, since it is smaller than the sum of its proper divisors (4864916).

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

3681664 is an equidigital number, since it uses as much as digits as its factorization.

3681664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 596 counting only the distinct ones).

The product of its digits is 20736, while the sum is 34.

The square root of 3681664 is about 1918.7662702893. The cubic root of 3681664 is about 154.4121192846.

The spelling of 3681664 in words is "three million, six hundred eighty-one thousand, six hundred sixty-four".