3635968 has 36 divisors (see below), whose sum is σ = 8298640. Its totient is φ = 1557504.

The previous prime is 3635923. The next prime is 3635969. The reversal of 3635968 is 8695363.

3635968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3635968.

It is not an unprimeable number, because it can be changed into a prime (3635969) 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 3 ways as a sum of consecutive naturals, for example, 778 + ... + 2806.

Almost surely, 2^3635968 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 3635968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4149320).

3635968 is an abundant number, since it is smaller than the sum of its proper divisors (4662672).

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

3635968 is an equidigital number, since it uses as much as digits as its factorization.

3635968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052 (or 2038 counting only the distinct ones).

The product of its digits is 116640, while the sum is 40.

The square root of 3635968 is about 1906.8214389397. The cubic root of 3635968 is about 153.7706148136.

The spelling of 3635968 in words is "three million, six hundred thirty-five thousand, nine hundred sixty-eight".