3209664 has 56 divisors (see below), whose sum is σ = 8646160. Its totient is φ = 1050624.

The previous prime is 3209653. The next prime is 3209681. The reversal of 3209664 is 4669023.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13902 + ... + 14130.

Almost surely, 2^3209664 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 3209664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4323080).

3209664 is an abundant number, since it is smaller than the sum of its proper divisors (5436496).

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

3209664 is a wasteful number, since it uses less digits than its factorization.

3209664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 3209664 is about 1791.5535158069. The cubic root of 3209664 is about 147.5094545314.

The spelling of 3209664 in words is "three million, two hundred nine thousand, six hundred sixty-four".