34007073409 has 2 divisors, whose sum is σ = 34007073410. Its totient is φ = 34007073408.

The previous prime is 34007073341. The next prime is 34007073431. The reversal of 34007073409 is 90437070043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21362745600 + 12644327809 = 146160^2 + 112447^2 .

It is a cyclic number.

It is not a de Polignac number, because 34007073409 - 2³¹ = 31859589761 is a prime.

It is a super-2 number, since 2×34007073409² (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34007073469) 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 as a sum of consecutive naturals, namely, 17003536704 + 17003536705.

It is an arithmetic number, because the mean of its divisors is an integer number (17003536705).

Almost surely, 2^34007073409 is an apocalyptic number.

It is an amenable number.

34007073409 is a deficient number, since it is larger than the sum of its proper divisors (1).

34007073409 is an equidigital number, since it uses as much as digits as its factorization.

34007073409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63504, while the sum is 37.

The spelling of 34007073409 in words is "thirty-four billion, seven million, seventy-three thousand, four hundred nine".