3692664 has 24 divisors (see below), whose sum is σ = 10001160. Its totient is φ = 1230864.

The previous prime is 3692659. The next prime is 3692671. The reversal of 3692664 is 4662963.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

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, 25572 + ... + 25715.

It is an arithmetic number, because the mean of its divisors is an integer number (416715).

Almost surely, 2^3692664 is an apocalyptic number.

It is an amenable number.

3692664 is an abundant number, since it is smaller than the sum of its proper divisors (6308496).

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

3692664 is a wasteful number, since it uses less digits than its factorization.

3692664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51299 (or 51292 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 3692664 is about 1921.6305576255. The cubic root of 3692664 is about 154.5657495000.

Subtracting 3692664 from its reverse (4662963), we obtain a cube (970299 = 99³).

It can be divided in two parts, 3692 and 664, that added together give a square (4356 = 66²).

The spelling of 3692664 in words is "three million, six hundred ninety-two thousand, six hundred sixty-four".