3309120 has 112 divisors (see below), whose sum is σ = 11704320. Its totient is φ = 880128.

The previous prime is 3309107. The next prime is 3309121. The reversal of 3309120 is 219033.

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 = 3309093 and 3309102.

It is not an unprimeable number, because it can be changed into a prime (3309121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8449 + ... + 8831.

Almost surely, 2^3309120 is an apocalyptic number.

3309120 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 3309120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5852160).

3309120 is an abundant number, since it is smaller than the sum of its proper divisors (8395200).

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

3309120 is a wasteful number, since it uses less digits than its factorization.

3309120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 3309120 is about 1819.0986779172. The cubic root of 3309120 is about 149.0175797164.

The spelling of 3309120 in words is "three million, three hundred nine thousand, one hundred twenty".