3393216 has 84 divisors (see below), whose sum is σ = 10024872. Its totient is φ = 1096704.

The previous prime is 3393211. The next prime is 3393223. The reversal of 3393216 is 6123933.

3393216 is a `hidden beast` number, since 339 + 321 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3393216.

It is not an unprimeable number, because it can be changed into a prime (3393211) 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, 24700 + ... + 24836.

Almost surely, 2^3393216 is an apocalyptic number.

3393216 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 3393216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5012436).

3393216 is an abundant number, since it is smaller than the sum of its proper divisors (6631656).

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

3393216 is a wasteful number, since it uses less digits than its factorization.

3393216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 185 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

The square root of 3393216 is about 1842.0684026387. The cubic root of 3393216 is about 150.2693825972.

The spelling of 3393216 in words is "three million, three hundred ninety-three thousand, two hundred sixteen".