3633040 has 20 divisors (see below), whose sum is σ = 8447004. Its totient is φ = 1453184.

The previous prime is 3633037. The next prime is 3633041. The reversal of 3633040 is 403363.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 478864 + 3154176 = 692^2 + 1776^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 3632999 and 3633017.

It is not an unprimeable number, because it can be changed into a prime (3633041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22627 + ... + 22786.

Almost surely, 2^3633040 is an apocalyptic number.

It is an amenable number.

3633040 is an abundant number, since it is smaller than the sum of its proper divisors (4813964).

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

3633040 is a wasteful number, since it uses less digits than its factorization.

3633040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45426 (or 45420 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

The square root of 3633040 is about 1906.0535144639. The cubic root of 3633040 is about 153.7293272049.

It can be divided in two parts, 363 and 3040, that added together give a triangular number (3403 = T₈₂).

The spelling of 3633040 in words is "three million, six hundred thirty-three thousand, forty".