3311120 has 20 divisors (see below), whose sum is σ = 7698540. Its totient is φ = 1324416.

The previous prime is 3311117. The next prime is 3311123. The reversal of 3311120 is 211133.

It is an interprime number because it is at equal distance from previous prime (3311117) and next prime (3311123).

It can be written as a sum of positive squares in 2 ways, for example, as 1763584 + 1547536 = 1328^2 + 1244^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3311123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20615 + ... + 20774.

It is an arithmetic number, because the mean of its divisors is an integer number (384927).

Almost surely, 2^3311120 is an apocalyptic number.

It is an amenable number.

3311120 is an abundant number, since it is smaller than the sum of its proper divisors (4387420).

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

3311120 is a wasteful number, since it uses less digits than its factorization.

3311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41402 (or 41396 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 3311120 is about 1819.6483176702. The cubic root of 3311120 is about 149.0475952630.

Adding to 3311120 its reverse (211133), we get a palindrome (3522253).

The spelling of 3311120 in words is "three million, three hundred eleven thousand, one hundred twenty".