3965904 has 30 divisors (see below), whose sum is σ = 11099426. Its totient is φ = 1321920.

The previous prime is 3965903. The next prime is 3965911. The reversal of 3965904 is 4095693.

It can be written as a sum of positive squares in only one way, i.e., 3240000 + 725904 = 1800^2 + 852^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3965903) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13627 + ... + 13914.

Almost surely, 2^3965904 is an apocalyptic number.

It is an amenable number.

3965904 is an abundant number, since it is smaller than the sum of its proper divisors (7133522).

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

3965904 is a wasteful number, since it uses less digits than its factorization.

3965904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27555 (or 27546 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 3965904 is about 1991.4577575234. The cubic root of 3965904 is about 158.2877840044.

The spelling of 3965904 in words is "three million, nine hundred sixty-five thousand, nine hundred four".