34407 has 6 divisors (see below), whose sum is σ = 49712. Its totient is φ = 22932.

The previous prime is 34403. The next prime is 34421. The reversal of 34407 is 70443.

34407 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34407 - 2² = 34403 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34407.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 34407.

It is not an unprimeable number, because it can be changed into a prime (34403) 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, 1903 + ... + 1920.

2³⁴⁴⁰⁷ is an apocalyptic number.

34407 is a deficient number, since it is larger than the sum of its proper divisors (15305).

34407 is a wasteful number, since it uses less digits than its factorization.

34407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3829 (or 3826 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 34407 is about 185.4912396853. The cubic root of 34407 is about 32.5248724788.

Adding to 34407 its product of nonzero digits (336), we get a palindrome (34743).

It can be divided in two parts, 34 and 407, that added together give a square (441 = 21²).

The spelling of 34407 in words is "thirty-four thousand, four hundred seven".