3612 has 24 divisors (see below), whose sum is σ = 9856. Its totient is φ = 1008.

The previous prime is 3607. The next prime is 3613. The reversal of 3612 is 2163.

3612 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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

It is a d-powerful number, because it can be written as 3⁷ + 1 + 6⁴ + 2⁷ .

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

It is one of the 548 Lynch-Bell numbers.

It is a nialpdrome in base 12.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3613) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63 + ... + 105.

2³⁶¹² 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 3612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4928).

3612 is an abundant number, since it is smaller than the sum of its proper divisors (6244).

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

3612 is a wasteful number, since it uses less digits than its factorization.

3612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 55 counting only the distinct ones).

The product of its digits is 36, while the sum is 12.

The square root of 3612 is about 60.0999168053. The cubic root of 3612 is about 15.3431988601.

Subtracting from 3612 its sum of digits (12), we obtain a square (3600 = 60²).

Adding to 3612 its reverse (2163), we get a palindrome (5775).

It can be divided in two parts, 361 and 2, that added together give a palindrome (363).

The spelling of 3612 in words is "three thousand, six hundred twelve".