3313296 has 120 divisors (see below), whose sum is σ = 11219520. Its totient is φ = 891648.

The previous prime is 3313291. The next prime is 3313319. The reversal of 3313296 is 6923133.

3313296 is a `hidden beast` number, since 331 + 329 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3313291) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19066 + ... + 19238.

It is an arithmetic number, because the mean of its divisors is an integer number (93496).

Almost surely, 2^3313296 is an apocalyptic number.

3313296 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 3313296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5609760).

3313296 is an abundant number, since it is smaller than the sum of its proper divisors (7906224).

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

3313296 is a wasteful number, since it uses less digits than its factorization.

3313296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 204 counting only the distinct ones).

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

The square root of 3313296 is about 1820.2461372023. The cubic root of 3313296 is about 149.0802384518.

The spelling of 3313296 in words is "three million, three hundred thirteen thousand, two hundred ninety-six".