3968664 has 32 divisors (see below), whose sum is σ = 11339520. Its totient is φ = 1133856.

The previous prime is 3968647. The next prime is 3968669. The reversal of 3968664 is 4668693.

3968664 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 (42).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3968669) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 11644 + ... + 11979.

It is an arithmetic number, because the mean of its divisors is an integer number (354360).

Almost surely, 2^3968664 is an apocalyptic number.

It is an amenable number.

3968664 is an abundant number, since it is smaller than the sum of its proper divisors (7370856).

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

3968664 is a wasteful number, since it uses less digits than its factorization.

3968664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23639 (or 23635 counting only the distinct ones).

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

The square root of 3968664 is about 1992.1505967170. The cubic root of 3968664 is about 158.3244946744.

The spelling of 3968664 in words is "three million, nine hundred sixty-eight thousand, six hundred sixty-four".