34105407 has 32 divisors (see below), whose sum is σ = 53729280. Its totient is φ = 18839520.

The previous prime is 34105403. The next prime is 34105427. The reversal of 34105407 is 70450143.

It is not a de Polignac number, because 34105407 - 2² = 34105403 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34105403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161532 + ... + 161742.

It is an arithmetic number, because the mean of its divisors is an integer number (1679040).

Almost surely, 2^34105407 is an apocalyptic number.

34105407 is a deficient number, since it is larger than the sum of its proper divisors (19623873).

34105407 is a wasteful number, since it uses less digits than its factorization.

34105407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443.

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 34105407 is about 5839.9834760040. The cubic root of 34105407 is about 324.2956168767.

The spelling of 34105407 in words is "thirty-four million, one hundred five thousand, four hundred seven".