34334415409 has 16 divisors (see below), whose sum is σ = 40255387776. Its totient is φ = 28676476800.

The previous prime is 34334415403. The next prime is 34334415463. The reversal of 34334415409 is 90451443343.

It is a cyclic number.

It is not a de Polignac number, because 34334415409 - 2¹⁷ = 34334284337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34334415403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 330052 + ... + 421429.

It is an arithmetic number, because the mean of its divisors is an integer number (2515961736).

Almost surely, 2^34334415409 is an apocalyptic number.

It is an amenable number.

34334415409 is a deficient number, since it is larger than the sum of its proper divisors (5920972367).

34334415409 is a wasteful number, since it uses less digits than its factorization.

34334415409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751656.

The product of its (nonzero) digits is 311040, while the sum is 40.

The spelling of 34334415409 in words is "thirty-four billion, three hundred thirty-four million, four hundred fifteen thousand, four hundred nine".