3965688 has 24 divisors (see below), whose sum is σ = 10740600. Its totient is φ = 1321872.

The previous prime is 3965681. The next prime is 3965701. The reversal of 3965688 is 8865693.

3965688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3965681) 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 5 ways as a sum of consecutive naturals, for example, 27468 + ... + 27611.

It is an arithmetic number, because the mean of its divisors is an integer number (447525).

Almost surely, 2^3965688 is an apocalyptic number.

It is an amenable number.

3965688 is an abundant number, since it is smaller than the sum of its proper divisors (6774912).

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

3965688 is a wasteful number, since it uses less digits than its factorization.

3965688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55091 (or 55084 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 3965688 is about 1991.4035251551. The cubic root of 3965688 is about 158.2849102769.

It can be divided in two parts, 396 and 5688, that added together give a square (6084 = 78²).

The spelling of 3965688 in words is "three million, nine hundred sixty-five thousand, six hundred eighty-eight".