3223120 has 20 divisors (see below), whose sum is σ = 7493940. Its totient is φ = 1289216.

The previous prime is 3223109. The next prime is 3223127. The reversal of 3223120 is 213223.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2347024 + 876096 = 1532^2 + 936^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 3223120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3223127) 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, 20065 + ... + 20224.

It is an arithmetic number, because the mean of its divisors is an integer number (374697).

Almost surely, 2^3223120 is an apocalyptic number.

It is an amenable number.

3223120 is an abundant number, since it is smaller than the sum of its proper divisors (4270820).

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

3223120 is a wasteful number, since it uses less digits than its factorization.

3223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40302 (or 40296 counting only the distinct ones).

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

The square root of 3223120 is about 1795.3049880174. The cubic root of 3223120 is about 147.7153036887.

Adding to 3223120 its reverse (213223), we get a palindrome (3436343).

It can be divided in two parts, 3223 and 120, that multiplied together give a triangular number (386760 = T₈₇₉).

The spelling of 3223120 in words is "three million, two hundred twenty-three thousand, one hundred twenty".