3438 has 12 divisors (see below), whose sum is σ = 7488. Its totient is φ = 1140.

The previous prime is 3433. The next prime is 3449. The reversal of 3438 is 8343.

Added to its reverse (8343) it gives a triangular number (11781 = T₁₅₃).

3438 is nontrivially palindromic in base 8.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 191 = 3438 / (3 + 4 + 3 + 8).

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 3438.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3433) 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, 78 + ... + 113.

It is an arithmetic number, because the mean of its divisors is an integer number (624).

3438 is an abundant number, since it is smaller than the sum of its proper divisors (4050).

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

3438 is a wasteful number, since it uses less digits than its factorization.

With its successor (3439) it forms an eRAP, since the sums of their prime factors are consecutive (199 and 200).

3438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 196 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 3438 is about 58.6344608571. The cubic root of 3438 is about 15.0927585412.

3438 divided by its sum of digits (18) gives a palindrome (191).

Adding to 3438 its reverse (8343), we get a triangular number (11781 = T₁₅₃).

It can be divided in two parts, 343 and 8, that multiplied together give a cube (2744 = 14³).

The spelling of 3438 in words is "three thousand, four hundred thirty-eight".