3633240 has 128 divisors (see below), whose sum is σ = 12519360. Its totient is φ = 835584.

The previous prime is 3633233. The next prime is 3633263. The reversal of 3633240 is 423363.

3633240 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 26452 + ... + 26588.

Almost surely, 2^3633240 is an apocalyptic number.

3633240 is a gapful number since it is divisible by the number (30) 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 3633240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6259680).

3633240 is an abundant number, since it is smaller than the sum of its proper divisors (8886120).

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

3633240 is a wasteful number, since it uses less digits than its factorization.

3633240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 3633240 is about 1906.1059781660. The cubic root of 3633240 is about 153.7321481025.

The spelling of 3633240 in words is "three million, six hundred thirty-three thousand, two hundred forty".