3408 has 20 divisors (see below), whose sum is σ = 8928. Its totient is φ = 1120.

The previous prime is 3407. The next prime is 3413. The reversal of 3408 is 8043.

It is a super-2 number, since 2×3408² = 23228928, which contains 22 as substring.

It is a plaindrome in base 14.

It is a nialpdrome in base 4, base 8 and base 16.

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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13 + ... + 83.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4464).

3408 is an abundant number, since it is smaller than the sum of its proper divisors (5520).

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

3408 is a wasteful number, since it uses less digits than its factorization.

3408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3408 is about 58.3780780773. The cubic root of 3408 is about 15.0487304073.

The spelling of 3408 in words is "three thousand, four hundred eight".