3656960 has 36 divisors (see below), whose sum is σ = 8762628. Its totient is φ = 1462272.

The previous prime is 3656953. The next prime is 3656981. The reversal of 3656960 is 696563.

It can be written as a sum of positive squares in 2 ways, for example, as 1893376 + 1763584 = 1376^2 + 1328^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3656960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 149 + ... + 2708.

Almost surely, 2^3656960 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 3656960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4381314).

3656960 is an abundant number, since it is smaller than the sum of its proper divisors (5105668).

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

3656960 is an equidigital number, since it uses as much as digits as its factorization.

3656960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2878 (or 2864 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 35.

The square root of 3656960 is about 1912.3179651930. The cubic root of 3656960 is about 154.0659749925.

The spelling of 3656960 in words is "three million, six hundred fifty-six thousand, nine hundred sixty".