3633084 has 72 divisors (see below), whose sum is σ = 11313120. Its totient is φ = 957312.

The previous prime is 3633083. The next prime is 3633101. The reversal of 3633084 is 4803363.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3633083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2722 + ... + 3830.

Almost surely, 2^3633084 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 3633084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5656560).

3633084 is an abundant number, since it is smaller than the sum of its proper divisors (7680036).

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

3633084 is a wasteful number, since it uses less digits than its factorization.

3633084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3633084 is about 1906.0650566022. The cubic root of 3633084 is about 153.7299478112.

The spelling of 3633084 in words is "three million, six hundred thirty-three thousand, eighty-four".