3965964 has 24 divisors (see below), whose sum is σ = 9798768. Its totient is φ = 1244160.

The previous prime is 3965963. The next prime is 3966007. The reversal of 3965964 is 4695693.

It is not an unprimeable number, because it can be changed into a prime (3965963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9517 + ... + 9924.

It is an arithmetic number, because the mean of its divisors is an integer number (408282).

Almost surely, 2^3965964 is an apocalyptic number.

3965964 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3965964 is an abundant number, since it is smaller than the sum of its proper divisors (5832804).

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

3965964 is a wasteful number, since it uses less digits than its factorization.

3965964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19465 (or 19463 counting only the distinct ones).

The product of its digits is 174960, while the sum is 42.

The square root of 3965964 is about 1991.4728218080. The cubic root of 3965964 is about 158.2885822435.

The spelling of 3965964 in words is "three million, nine hundred sixty-five thousand, nine hundred sixty-four".