3233120 has 72 divisors (see below), whose sum is σ = 8446032. Its totient is φ = 1168640.

The previous prime is 3233119. The next prime is 3233149. The reversal of 3233120 is 213323.

It is a junction number, because it is equal to n+sod(n) for n = 3233095 and 3233104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19277 + ... + 19443.

It is an arithmetic number, because the mean of its divisors is an integer number (117306).

Almost surely, 2^3233120 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 3233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4223016).

3233120 is an abundant number, since it is smaller than the sum of its proper divisors (5212912).

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

3233120 is a wasteful number, since it uses less digits than its factorization.

3233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 3233120 is about 1798.0878732698. The cubic root of 3233120 is about 147.8679123413.

Adding to 3233120 its reverse (213323), we get a palindrome (3446443).

It can be divided in two parts, 323 and 3120, that added together give a palindrome (3443).

The spelling of 3233120 in words is "three million, two hundred thirty-three thousand, one hundred twenty".