3321216 has 96 divisors (see below), whose sum is σ = 10128600. Its totient is φ = 1071360.

The previous prime is 3321203. The next prime is 3321217. The reversal of 3321216 is 6121233.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×3321216³ (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (216) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3321217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107121 + ... + 107151.

Almost surely, 2^3321216 is an apocalyptic number.

3321216 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 3321216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5064300).

3321216 is an abundant number, since it is smaller than the sum of its proper divisors (6807384).

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

3321216 is an equidigital number, since it uses as much as digits as its factorization.

3321216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 36 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 3321216 is about 1822.4203686307. The cubic root of 3321216 is about 149.1989295229.

Multiplying 3321216 by its product of digits (216), we get a square (717382656 = 26784²).

3321216 divided by its product of digits (216) gives a square (15376 = 124²).

Adding to 3321216 its reverse (6121233), we get a palindrome (9442449).

The spelling of 3321216 in words is "three million, three hundred twenty-one thousand, two hundred sixteen".