3689664 has 56 divisors (see below), whose sum is σ = 10655808. Its totient is φ = 1117440.

The previous prime is 3689633. The next prime is 3689669. The reversal of 3689664 is 4669863.

It is a super-2 number, since 2×3689664² = 27227240865792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3689669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1239 + ... + 2985.

Almost surely, 2^3689664 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 3689664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5327904).

3689664 is an abundant number, since it is smaller than the sum of its proper divisors (6966144).

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

3689664 is a wasteful number, since it uses less digits than its factorization.

3689664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773 (or 1763 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 3689664 is about 1920.8498119322. The cubic root of 3689664 is about 154.5238806417.

The spelling of 3689664 in words is "three million, six hundred eighty-nine thousand, six hundred sixty-four".