3634 has 8 divisors (see below), whose sum is σ = 5760. Its totient is φ = 1716.

The previous prime is 3631. The next prime is 3637. The reversal of 3634 is 4363.

3634 = T₅ + T₆ + ... + T₂₇.

It is a happy number.

3634 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3631) and next prime (3637).

It is a sphenic number, since it is the product of 3 distinct primes.

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

It is a plaindrome in base 14 and base 15.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3631) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7 + ... + 85.

It is an arithmetic number, because the mean of its divisors is an integer number (720).

3634 is a deficient number, since it is larger than the sum of its proper divisors (2126).

3634 is a wasteful number, since it uses less digits than its factorization.

3634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104.

The product of its digits is 216, while the sum is 16.

The square root of 3634 is about 60.2826674924. The cubic root of 3634 is about 15.3742866569.

Adding to 3634 its reverse (4363), we get a palindrome (7997).

Subtracting 3634 from its reverse (4363), we obtain a 6-th power (729 = 3⁶).

The spelling of 3634 in words is "three thousand, six hundred thirty-four".