3636 has 18 divisors (see below), whose sum is σ = 9282. Its totient is φ = 1200.

The previous prime is 3631. The next prime is 3637. The reversal of 3636 is 6363.

3636 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3600 + 36 = 60^2 + 6^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between odd and even.

3636 is an undulating number in base 10.

It is a plaindrome in base 14 and base 15.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3631) by changing a digit.

3636 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 5 ways as a sum of consecutive naturals, for example, 15 + ... + 86.

3636 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3636 is an abundant number, since it is smaller than the sum of its proper divisors (5646).

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

3636 is a wasteful number, since it uses less digits than its factorization.

3636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 106 counting only the distinct ones).

The product of its digits is 324, while the sum is 18.

The square root of 3636 is about 60.2992537267. The cubic root of 3636 is about 15.3771065922.

3636 divided by its sum of digits (18) gives a palindrome (202).

Adding to 3636 its reverse (6363), we get a palindrome (9999).

The spelling of 3636 in words is "three thousand, six hundred thirty-six".