3406 has 8 divisors (see below), whose sum is σ = 5544. Its totient is φ = 1560.

The previous prime is 3391. The next prime is 3407. The reversal of 3406 is 6043.

3406 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

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

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

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

3406 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 40 + ... + 91.

It is an arithmetic number, because the mean of its divisors is an integer number (693).

3406 is a deficient number, since it is larger than the sum of its proper divisors (2138).

3406 is a wasteful number, since it uses less digits than its factorization.

3406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146.

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 3406 is about 58.3609458457. The cubic root of 3406 is about 15.0457860264.

3406 divided by its sum of digits (13) gives a palindrome (262).

Adding to 3406 its reverse (6043), we get a palindrome (9449).

The spelling of 3406 in words is "three thousand, four hundred six".