3311296 has 28 divisors (see below), whose sum is σ = 6786880. Its totient is φ = 1601280.

The previous prime is 3311251. The next prime is 3311299. The reversal of 3311296 is 6921133.

3311296 = T₂₁₉ + T₂₂₀ + ... + T₃₁₁.

It is a self number, because there is not a number n which added to its sum of digits gives 3311296.

It is not an unprimeable number, because it can be changed into a prime (3311299) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1150 + ... + 2818.

Almost surely, 2^3311296 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 3311296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3393440).

3311296 is an abundant number, since it is smaller than the sum of its proper divisors (3475584).

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

3311296 is a wasteful number, since it uses less digits than its factorization.

3311296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1712 (or 1702 counting only the distinct ones).

The product of its digits is 972, while the sum is 25.

The square root of 3311296 is about 1819.6966780208. The cubic root of 3311296 is about 149.0502360524.

The spelling of 3311296 in words is "three million, three hundred eleven thousand, two hundred ninety-six".