3560 has 16 divisors (see below), whose sum is σ = 8100. Its totient is φ = 1408.

The previous prime is 3559. The next prime is 3571. The reversal of 3560 is 653.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3364 + 196 = 58^2 + 14^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5 + ... + 84.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4050).

3560 is an abundant number, since it is smaller than the sum of its proper divisors (4540).

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

3560 is a wasteful number, since it uses less digits than its factorization.

3560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 3560 is about 59.6657355607. The cubic root of 3560 is about 15.2692134430.

Multiplying 3560 by its product of nonzero digits (90), we get a triangular number (320400 = T₈₀₀).

The spelling of 3560 in words is "three thousand, five hundred sixty".