3633264 has 60 divisors (see below), whose sum is σ = 10619856. Its totient is φ = 1157376.

The previous prime is 3633263. The next prime is 3633269. The reversal of 3633264 is 4623363.

3633264 is a `hidden beast` number, since 3 + 633 + 26 + 4 = 666.

3633264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3633263) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2764 + ... + 3860.

Almost surely, 2^3633264 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 3633264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5309928).

3633264 is an abundant number, since it is smaller than the sum of its proper divisors (6986592).

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

3633264 is a wasteful number, since it uses less digits than its factorization.

3633264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1125 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

The square root of 3633264 is about 1906.1122737132. The cubic root of 3633264 is about 153.7324866032.

Subtracting 3633264 from its reverse (4623363), we obtain a palindrome (990099).

The spelling of 3633264 in words is "three million, six hundred thirty-three thousand, two hundred sixty-four".