3633216 has 56 divisors (see below), whose sum is σ = 9753600. Its totient is φ = 1193472.

The previous prime is 3633193. The next prime is 3633229. The reversal of 3633216 is 6123363.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24310 + ... + 24458.

Almost surely, 2^3633216 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 3633216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4876800).

3633216 is an abundant number, since it is smaller than the sum of its proper divisors (6120384).

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

3633216 is a wasteful number, since it uses less digits than its factorization.

3633216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 281 counting only the distinct ones).

The product of its digits is 1944, while the sum is 24.

The square root of 3633216 is about 1906.0996825979. The cubic root of 3633216 is about 153.7318096002.

Adding to 3633216 its reverse (6123363), we get a palindrome (9756579).

The spelling of 3633216 in words is "three million, six hundred thirty-three thousand, two hundred sixteen".