3564 has 30 divisors (see below), whose sum is σ = 10164. Its totient is φ = 1080.

The previous prime is 3559. The next prime is 3571. The reversal of 3564 is 4653.

It is a happy number.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 3.

It is an unprimeable number.

3564 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 319 + ... + 329.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5082).

3564 is an abundant number, since it is smaller than the sum of its proper divisors (6600).

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

3564 is a wasteful number, since it uses less digits than its factorization.

3564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27 (or 16 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 3564 is about 59.6992462264. The cubic root of 3564 is about 15.2749301090.

Subtracting 3564 from its reverse (4653), we obtain a square (1089 = 33²).

It can be divided in two parts, 35 and 64, that added together give a palindrome (99).

The spelling of 3564 in words is "three thousand, five hundred sixty-four".