3300120 has 96 divisors (see below), whose sum is σ = 10951200. Its totient is φ = 861696.

The previous prime is 3300103. The next prime is 3300127. The reversal of 3300120 is 210033.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3300127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31989 + ... + 32091.

It is an arithmetic number, because the mean of its divisors is an integer number (114075).

Almost surely, 2^3300120 is an apocalyptic number.

3300120 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 3300120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5475600).

3300120 is an abundant number, since it is smaller than the sum of its proper divisors (7651080).

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

3300120 is a wasteful number, since it uses less digits than its factorization.

3300120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 3300120 is about 1816.6232410712. The cubic root of 3300120 is about 148.8823598863.

Adding to 3300120 its reverse (210033), we get a palindrome (3510153).

The spelling of 3300120 in words is "three million, three hundred thousand, one hundred twenty".