3633408 has 108 divisors (see below), whose sum is σ = 11160240. Its totient is φ = 1133568.

The previous prime is 3633403. The next prime is 3633431. The reversal of 3633408 is 8043363.

It is not an unprimeable number, because it can be changed into a prime (3633401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43735 + ... + 43817.

Almost surely, 2^3633408 is an apocalyptic number.

3633408 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3633408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5580120).

3633408 is an abundant number, since it is smaller than the sum of its proper divisors (7526832).

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

3633408 is a wasteful number, since it uses less digits than its factorization.

3633408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3633408 is about 1906.1500465598. The cubic root of 3633408 is about 153.7345175764.

The spelling of 3633408 in words is "three million, six hundred thirty-three thousand, four hundred eight".