3204 has 18 divisors (see below), whose sum is σ = 8190. Its totient is φ = 1056.

The previous prime is 3203. The next prime is 3209. The reversal of 3204 is 4023.

It can be written as a sum of positive squares in only one way, i.e., 2304 + 900 = 48^2 + 30^2 .

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 (9).

It is a plaindrome in base 7 and base 14.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (3203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9 + ... + 80.

It is an arithmetic number, because the mean of its divisors is an integer number (455).

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4095).

3204 is an abundant number, since it is smaller than the sum of its proper divisors (4986).

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

3204 is a wasteful number, since it uses less digits than its factorization.

3204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 3204 is about 56.6038867923. The cubic root of 3204 is about 14.7422634905.

Adding to 3204 its reverse (4023), we get a palindrome (7227).

It can be divided in two parts, 320 and 4, that added together give a square (324 = 18²).

The spelling of 3204 in words is "three thousand, two hundred four", and thus it is an iban number.