3282120 has 80 divisors (see below), whose sum is σ = 11042460. Its totient is φ = 874368.

The previous prime is 3282101. The next prime is 3282121. The reversal of 3282120 is 212823.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2683044 + 599076 = 1638^2 + 774^2 .

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 = 3282093 and 3282102.

It is not an unprimeable number, because it can be changed into a prime (3282121) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2734 + ... + 3746.

Almost surely, 2^3282120 is an apocalyptic number.

3282120 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 3282120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5521230).

3282120 is an abundant number, since it is smaller than the sum of its proper divisors (7760340).

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

3282120 is a wasteful number, since it uses less digits than its factorization.

3282120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1023 counting only the distinct ones).

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

The square root of 3282120 is about 1811.6622201724. The cubic root of 3282120 is about 148.6111808956.

Adding to 3282120 its reverse (212823), we get a palindrome (3494943).

The spelling of 3282120 in words is "three million, two hundred eighty-two thousand, one hundred twenty".