3624 has 16 divisors (see below), whose sum is σ = 9120. Its totient is φ = 1200.

The previous prime is 3623. The next prime is 3631. The reversal of 3624 is 4263.

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

It is one of the 548 Lynch-Bell numbers.

It is a plaindrome in base 14 and base 15.

It is not an unprimeable number, because it can be changed into a prime (3623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52 + ... + 99.

It is an arithmetic number, because the mean of its divisors is an integer number (570).

It is an amenable number.

3624 is an abundant number, since it is smaller than the sum of its proper divisors (5496).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4560).

3624 is a wasteful number, since it uses less digits than its factorization.

3624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 156 counting only the distinct ones).

The product of its digits is 144, while the sum is 15.

The square root of 3624 is about 60.1996677732. The cubic root of 3624 is about 15.3601714391.

Adding to 3624 its reverse (4263), we get a palindrome (7887).

The spelling of 3624 in words is "three thousand, six hundred twenty-four".