3468 has 18 divisors (see below), whose sum is σ = 8596. Its totient is φ = 1088.

The previous prime is 3467. The next prime is 3469. The reversal of 3468 is 8643.

3468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3467) and next prime (3469).

It is a plaindrome in base 10 and base 14.

It is not an unprimeable number, because it can be changed into a prime (3461) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 196 + ... + 212.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4298).

3468 is an abundant number, since it is smaller than the sum of its proper divisors (5128).

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

3468 is a wasteful number, since it uses less digits than its factorization.

3468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 22 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 3468 is about 58.8897274573. The cubic root of 3468 is about 15.1365312878.

The spelling of 3468 in words is "three thousand, four hundred sixty-eight".