3633540 has 48 divisors (see below), whose sum is σ = 10620288. Its totient is φ = 926464.

The previous prime is 3633499. The next prime is 3633551. The reversal of 3633540 is 453363.

3633540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3633540² = 26405225863200, which contains 22 as substring.

It is a d-powerful number, because it can be written as 3³ + 6⁸ + 3³ + 3⁶ + 5⁹ + 4² + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 3633540.

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 15 ways as a sum of consecutive naturals, for example, 64 + ... + 2696.

It is an arithmetic number, because the mean of its divisors is an integer number (221256).

Almost surely, 2^3633540 is an apocalyptic number.

3633540 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 3633540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5310144).

3633540 is an abundant number, since it is smaller than the sum of its proper divisors (6986748).

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

3633540 is a wasteful number, since it uses less digits than its factorization.

3633540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2668 (or 2666 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 3633540 is about 1906.1846710117. The cubic root of 3633540 is about 153.7363792547.

The spelling of 3633540 in words is "three million, six hundred thirty-three thousand, five hundred forty".