3633032 has 32 divisors (see below), whose sum is σ = 7414680. Its totient is φ = 1658880.

The previous prime is 3633029. The next prime is 3633037. The reversal of 3633032 is 2303363.

It can be written as a sum of positive squares in 4 ways, for example, as 857476 + 2775556 = 926^2 + 1666^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3632995 and 3633013.

It is not an unprimeable number, because it can be changed into a prime (3633037) 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 7 ways as a sum of consecutive naturals, for example, 18728 + ... + 18920.

Almost surely, 2^3633032 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 3633032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3707340).

3633032 is an abundant number, since it is smaller than the sum of its proper divisors (3781648).

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

3633032 is a wasteful number, since it uses less digits than its factorization.

3633032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

The square root of 3633032 is about 1906.0514158857. The cubic root of 3633032 is about 153.7292143668.

Adding to 3633032 its reverse (2303363), we get a palindrome (5936395).

The spelling of 3633032 in words is "three million, six hundred thirty-three thousand, thirty-two".