3322120 has 48 divisors (see below), whose sum is σ = 7863660. Its totient is φ = 1262976.

The previous prime is 3322117. The next prime is 3322129. The reversal of 3322120 is 212233.

It is a happy number.

3322120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3218436 + 103684 = 1794^2 + 322^2 .

It is a super-2 number, since 2×3322120² = 22072962588800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3322120.

It is not an unprimeable number, because it can be changed into a prime (3322129) 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, 21082 + ... + 21238.

Almost surely, 2^3322120 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 3322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931830).

3322120 is an abundant number, since it is smaller than the sum of its proper divisors (4541540).

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

3322120 is a wasteful number, since it uses less digits than its factorization.

3322120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 3322120 is about 1822.6683735666. The cubic root of 3322120 is about 149.2124650871.

Adding to 3322120 its reverse (212233), we get a palindrome (3534353).

The spelling of 3322120 in words is "three million, three hundred twenty-two thousand, one hundred twenty".