3434 has 8 divisors (see below), whose sum is σ = 5508. Its totient is φ = 1600.

The previous prime is 3433. The next prime is 3449. The reversal of 3434 is 4343.

3434 = T₁₁ + T₁₂ + ... + T₂₇.

3434 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 2809 + 625 = 53^2 + 25^2 .

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

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

3434 is an undulating number in base 10.

It is a Curzon number.

It is a nialpdrome in base 8.

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 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, 17 + ... + 84.

2³⁴³⁴ is an apocalyptic number.

3434 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

3434 is a deficient number, since it is larger than the sum of its proper divisors (2074).

3434 is a wasteful number, since it uses less digits than its factorization.

3434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120.

The product of its digits is 144, while the sum is 14.

The square root of 3434 is about 58.6003412959. The cubic root of 3434 is about 15.0869029601.

Adding to 3434 its reverse (4343), we get a palindrome (7777).

Subtracting 3434 from its reverse (4343), we obtain a palindrome (909).

The spelling of 3434 in words is "three thousand, four hundred thirty-four".