3405 has 8 divisors (see below), whose sum is σ = 5472. Its totient is φ = 1808.

The previous prime is 3391. The next prime is 3407. The reversal of 3405 is 5043.

3405 is nontrivially palindromic in base 16.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3405 - 2⁴ = 3389 is a prime.

3405 is an undulating number in base 16.

3405 is a lucky number.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99 + ... + 128.

It is an arithmetic number, because the mean of its divisors is an integer number (684).

2³⁴⁰⁵ is an apocalyptic number.

It is an amenable number.

3405 is a deficient number, since it is larger than the sum of its proper divisors (2067).

3405 is a wasteful number, since it uses less digits than its factorization.

3405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235.

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 3405 is about 58.3523778436. The cubic root of 3405 is about 15.0443134037.

Adding to 3405 its reverse (5043), we get a palindrome (8448).

The spelling of 3405 in words is "three thousand, four hundred five".