3409120 has 96 divisors (see below), whose sum is σ = 9525600. Its totient is φ = 1136640.

The previous prime is 3409117. The next prime is 3409121. The reversal of 3409120 is 219043.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3409121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22806 + ... + 22954.

It is an arithmetic number, because the mean of its divisors is an integer number (99225).

Almost surely, 2^3409120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3409120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4762800).

3409120 is an abundant number, since it is smaller than the sum of its proper divisors (6116480).

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

3409120 is a wasteful number, since it uses less digits than its factorization.

3409120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 3409120 is about 1846.3802425286. The cubic root of 3409120 is about 150.5037875744.

The spelling of 3409120 in words is "three million, four hundred nine thousand, one hundred twenty".