3632 has 10 divisors (see below), whose sum is σ = 7068. Its totient is φ = 1808.

The previous prime is 3631. The next prime is 3637. The reversal of 3632 is 2363.

Added to its reverse (2363) it gives a triangular number (5995 = T₁₀₉).

It is an Ulam number.

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

It is a plaindrome in base 15.

It is a nialpdrome in base 16.

It is a zygodrome in base 2 and base 15.

It is not an unprimeable number, because it can be changed into a prime (3631) 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 as a sum of consecutive naturals, namely, 98 + ... + 129.

It is an amenable number.

3632 is a deficient number, since it is larger than the sum of its proper divisors (3436).

3632 is a wasteful number, since it uses less digits than its factorization.

3632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 229 counting only the distinct ones).

The product of its digits is 108, while the sum is 14.

The square root of 3632 is about 60.2660766933. The cubic root of 3632 is about 15.3714656868.

Adding to 3632 its reverse (2363), we get a palindrome (5995).

The spelling of 3632 in words is "three thousand, six hundred thirty-two".