3656664 has 128 divisors (see below), whose sum is σ = 11808000. Its totient is φ = 1049760.

The previous prime is 3656663. The next prime is 3656669. The reversal of 3656664 is 4666563.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3656663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192447 + ... + 192465.

It is an arithmetic number, because the mean of its divisors is an integer number (92250).

Almost surely, 2^3656664 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 3656664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5904000).

3656664 is an abundant number, since it is smaller than the sum of its proper divisors (8151336).

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

3656664 is a wasteful number, since it uses less digits than its factorization.

3656664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 35 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 3656664 is about 1912.2405706396. The cubic root of 3656664 is about 154.0618181009.

The spelling of 3656664 in words is "three million, six hundred fifty-six thousand, six hundred sixty-four".