3285120 has 128 divisors (see below), whose sum is σ = 11016000. Its totient is φ = 831488.

The previous prime is 3285103. The next prime is 3285127. The reversal of 3285120 is 215823.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3285127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55651 + ... + 55709.

Almost surely, 2^3285120 is an apocalyptic number.

3285120 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 3285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5508000).

3285120 is an abundant number, since it is smaller than the sum of its proper divisors (7730880).

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

3285120 is a wasteful number, since it uses less digits than its factorization.

3285120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 3285120 is about 1812.4899999724. The cubic root of 3285120 is about 148.6564461281.

The spelling of 3285120 in words is "three million, two hundred eighty-five thousand, one hundred twenty".