34358409 has 12 divisors (see below), whose sum is σ = 49681476. Its totient is φ = 22881312.

The previous prime is 34358393. The next prime is 34358461. The reversal of 34358409 is 90485343.

It can be written as a sum of positive squares in 2 ways, for example, as 23068809 + 11289600 = 4803^2 + 3360^2 .

It is not a de Polignac number, because 34358409 - 2⁴ = 34358393 is a prime.

It is a super-3 number, since 3×34358409³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34358209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12159 + ... + 14715.

It is an arithmetic number, because the mean of its divisors is an integer number (4140123).

Almost surely, 2^34358409 is an apocalyptic number.

It is an amenable number.

34358409 is a deficient number, since it is larger than the sum of its proper divisors (15323067).

34358409 is a wasteful number, since it uses less digits than its factorization.

34358409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4056 (or 4053 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 34358409 is about 5861.6046437814. The cubic root of 34358409 is about 325.0955427185.

The spelling of 34358409 in words is "thirty-four million, three hundred fifty-eight thousand, four hundred nine".