34128809 has 32 divisors (see below), whose sum is σ = 43182720. Its totient is φ = 26496000.

The previous prime is 34128797. The next prime is 34128811. The reversal of 34128809 is 90882143.

34128809 = T₃₁₅ + T₃₁₆ + ... + T₆₁₇.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34128809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34128839) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245462 + ... + 245600.

It is an arithmetic number, because the mean of its divisors is an integer number (1349460).

Almost surely, 2^34128809 is an apocalyptic number.

It is an amenable number.

34128809 is a deficient number, since it is larger than the sum of its proper divisors (9053911).

34128809 is a wasteful number, since it uses less digits than its factorization.

34128809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281.

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 34128809 is about 5841.9867339801. The cubic root of 34128809 is about 324.3697735529.

It can be divided in two parts, 3412 and 8809, that added together give a palindrome (12221).

The spelling of 34128809 in words is "thirty-four million, one hundred twenty-eight thousand, eight hundred nine".