3965664 has 48 divisors (see below), whose sum is σ = 10538640. Its totient is φ = 1305600.

The previous prime is 3965659. The next prime is 3965681. The reversal of 3965664 is 4665693.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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, 9492 + ... + 9900.

It is an arithmetic number, because the mean of its divisors is an integer number (219555).

Almost surely, 2^3965664 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 3965664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5269320).

3965664 is an abundant number, since it is smaller than the sum of its proper divisors (6572976).

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

3965664 is a wasteful number, since it uses less digits than its factorization.

3965664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 515 counting only the distinct ones).

The product of its digits is 116640, while the sum is 39.

The square root of 3965664 is about 1991.3974992452. The cubic root of 3965664 is about 158.2845909674.

It can be divided in two parts, 39 and 65664, that added together give a triangular number (65703 = T₃₆₂).

The spelling of 3965664 in words is "three million, nine hundred sixty-five thousand, six hundred sixty-four".