3354 has 16 divisors (see below), whose sum is σ = 7392. Its totient is φ = 1008.

The previous prime is 3347. The next prime is 3359. The reversal of 3354 is 4533.

3354 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3354² = 22498632, which contains 22 as substring.

It is a Curzon number.

It is a plaindrome in base 11.

It is a nialpdrome in base 8 and base 15.

It is not an unprimeable number, because it can be changed into a prime (3359) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57 + ... + 99.

It is an arithmetic number, because the mean of its divisors is an integer number (462).

2³³⁵⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3696).

3354 is an abundant number, since it is smaller than the sum of its proper divisors (4038).

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

3354 is a wasteful number, since it uses less digits than its factorization.

3354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61.

The product of its digits is 180, while the sum is 15.

The square root of 3354 is about 57.9137289423. The cubic root of 3354 is about 14.9688241382.

Adding to 3354 its reverse (4533), we get a palindrome (7887).

The spelling of 3354 in words is "three thousand, three hundred fifty-four".