34002205509 has 16 divisors (see below), whose sum is σ = 47057314304. Its totient is φ = 21815697600.

The previous prime is 34002205487. The next prime is 34002205543. The reversal of 34002205509 is 90550220043.

It is not a de Polignac number, because 34002205509 - 2⁸ = 34002205253 is a prime.

It is a super-2 number, since 2×34002205509² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34002205309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 993154 + ... + 1026819.

It is an arithmetic number, because the mean of its divisors is an integer number (2941082144).

Almost surely, 2^34002205509 is an apocalyptic number.

It is an amenable number.

34002205509 is a deficient number, since it is larger than the sum of its proper divisors (13055108795).

34002205509 is a wasteful number, since it uses less digits than its factorization.

34002205509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2020188.

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 34002205509 in words is "thirty-four billion, two million, two hundred five thousand, five hundred nine".