3228120 has 192 divisors, whose sum is σ = 12722400. Its totient is φ = 725760.

The previous prime is 3228109. The next prime is 3228143. The reversal of 3228120 is 218223.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3228093 and 3228102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52890 + ... + 52950.

Almost surely, 2^3228120 is an apocalyptic number.

3228120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3228120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6361200).

3228120 is an abundant number, since it is smaller than the sum of its proper divisors (9494280).

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

3228120 is a wasteful number, since it uses less digits than its factorization.

3228120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3228120 is about 1796.6969694414. The cubic root of 3228120 is about 147.7916474107.

The spelling of 3228120 in words is "three million, two hundred twenty-eight thousand, one hundred twenty".