3409 has 4 divisors (see below), whose sum is σ = 3904. Its totient is φ = 2916.

The previous prime is 3407. The next prime is 3413. The reversal of 3409 is 9043.

3409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a 6-Lehmer number, since φ(3409) divides (3409-1)⁶.

It is a cyclic number.

It is not a de Polignac number, because 3409 - 2¹ = 3407 is a prime.

It is a Duffinian number.

3409 is a lucky number.

It is a plaindrome in base 14.

It is a nialpdrome in base 8 and base 16.

It is a junction number, because it is equal to n+sod(n) for n = 3392 and 3401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3407) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 237 + ... + 250.

It is an arithmetic number, because the mean of its divisors is an integer number (976).

2³⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

3409 is a deficient number, since it is larger than the sum of its proper divisors (495).

3409 is an equidigital number, since it uses as much as digits as its factorization.

3409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 3409 is about 58.3866423080. The cubic root of 3409 is about 15.0502021658.

The spelling of 3409 in words is "three thousand, four hundred nine".