3636960 has 48 divisors (see below), whose sum is σ = 11457936. Its totient is φ = 969728.

The previous prime is 3636947. The next prime is 3636973. The reversal of 3636960 is 696363.

3636960 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3636947) and next prime (3636973).

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, 3309 + ... + 4268.

It is an arithmetic number, because the mean of its divisors is an integer number (238707).

Almost surely, 2^3636960 is an apocalyptic number.

3636960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3636960 is an abundant number, since it is smaller than the sum of its proper divisors (7820976).

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

3636960 is a wasteful number, since it uses less digits than its factorization.

3636960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7595 (or 7587 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 33.

The square root of 3636960 is about 1907.0815399453. The cubic root of 3636960 is about 153.7845979380.

Adding to 3636960 its product of nonzero digits (17496), we get a triangular number (3654456 = T₂₇₀₃).

The spelling of 3636960 in words is "three million, six hundred thirty-six thousand, nine hundred sixty".