3267216 has 50 divisors (see below), whose sum is σ = 9460022. Its totient is φ = 1088640.

The previous prime is 3267197. The next prime is 3267217. The reversal of 3267216 is 6127623.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1679616 + 1587600 = 1296^2 + 1260^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 3267216.

It is not an unprimeable number, because it can be changed into a prime (3267217) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 36 + ... + 2556.

Almost surely, 2^3267216 is an apocalyptic number.

3267216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3267216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4730011).

3267216 is an abundant number, since it is smaller than the sum of its proper divisors (6192806).

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

3267216 is a wasteful number, since it uses less digits than its factorization.

3267216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2541 (or 2526 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 3267216 is about 1807.5441903312. The cubic root of 3267216 is about 148.3858933659.

The spelling of 3267216 in words is "three million, two hundred sixty-seven thousand, two hundred sixteen".