34095376715009 has 8 divisors (see below), whose sum is σ = 34940226659520. Its totient is φ = 33260408056656.

The previous prime is 34095376714999. The next prime is 34095376715011. The reversal of 34095376715009 is 90051767359043.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34095376715009 - 2²⁸ = 34095108279553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34095376712009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2470314554 + ... + 2470328355.

It is an arithmetic number, because the mean of its divisors is an integer number (4367528332440).

Almost surely, 2^{34095376715009} is an apocalyptic number.

It is an amenable number.

34095376715009 is a deficient number, since it is larger than the sum of its proper divisors (844849944511).

34095376715009 is a wasteful number, since it uses less digits than its factorization.

34095376715009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4940643079.

The product of its (nonzero) digits is 21432600, while the sum is 59.

The spelling of 34095376715009 in words is "thirty-four trillion, ninety-five billion, three hundred seventy-six million, seven hundred fifteen thousand, nine".