3221120 has 64 divisors (see below), whose sum is σ = 8812800. Its totient is φ = 1102848.

The previous prime is 3221111. The next prime is 3221123. The reversal of 3221120 is 211223.

It is a happy number.

3221120 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3221120² = 20751228108800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3221123) 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 7 ways as a sum of consecutive naturals, for example, 4121 + ... + 4839.

It is an arithmetic number, because the mean of its divisors is an integer number (137700).

Almost surely, 2^3221120 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 3221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4406400).

3221120 is an abundant number, since it is smaller than the sum of its proper divisors (5591680).

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

3221120 is an equidigital number, since it uses as much as digits as its factorization.

3221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 3221120 is about 1794.7478931594. The cubic root of 3221120 is about 147.6847440927.

Adding to 3221120 its reverse (211223), we get a palindrome (3432343).

The spelling of 3221120 in words is "three million, two hundred twenty-one thousand, one hundred twenty".