3647664 has 60 divisors (see below), whose sum is σ = 10378056. Its totient is φ = 1195776.

The previous prime is 3647641. The next prime is 3647671. The reversal of 3647664 is 4667463.

3647664 is a `hidden beast` number, since 3 + 647 + 6 + 6 + 4 = 666.

3647664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10339 + ... + 10685.

Almost surely, 2^3647664 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 3647664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5189028).

3647664 is an abundant number, since it is smaller than the sum of its proper divisors (6730392).

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

3647664 is a wasteful number, since it uses less digits than its factorization.

3647664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 425 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 3647664 is about 1909.8858604639. The cubic root of 3647664 is about 153.9353188765.

The spelling of 3647664 in words is "three million, six hundred forty-seven thousand, six hundred sixty-four".