3631408 has 40 divisors (see below), whose sum is σ = 7856640. Its totient is φ = 1611840.

The previous prime is 3631379. The next prime is 3631423. The reversal of 3631408 is 8041363.

3631408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8053 + ... + 8491.

It is an arithmetic number, because the mean of its divisors is an integer number (196416).

Almost surely, 2^3631408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3631408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3928320).

3631408 is an abundant number, since it is smaller than the sum of its proper divisors (4225232).

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

3631408 is a wasteful number, since it uses less digits than its factorization.

3631408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 3631408 is about 1905.6253566743. The cubic root of 3631408 is about 153.7063048106.

It can be divided in two parts, 363 and 1408, that added together give a palindrome (1771).

The spelling of 3631408 in words is "three million, six hundred thirty-one thousand, four hundred eight".