3604 has 12 divisors (see below), whose sum is σ = 6804. Its totient is φ = 1664.

The previous prime is 3593. The next prime is 3607. The reversal of 3604 is 4063.

It can be written as a sum of positive squares in 2 ways, for example, as 2704 + 900 = 52^2 + 30^2 .

It is a plaindrome in base 7 and base 14.

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 (3607) by changing a digit.

3604 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 42 + ... + 94.

It is an arithmetic number, because the mean of its divisors is an integer number (567).

3604 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3604 is a deficient number, since it is larger than the sum of its proper divisors (3200).

3604 is a wasteful number, since it uses less digits than its factorization.

3604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 3604 is about 60.0333240792. The cubic root of 3604 is about 15.3318629130.

Adding to 3604 its reverse (4063), we get a palindrome (7667).

The spelling of 3604 in words is "three thousand, six hundred four".