34009864199 has 16 divisors (see below), whose sum is σ = 36273821760. Its totient is φ = 31886364160.

The previous prime is 34009864153. The next prime is 34009864211. The reversal of 34009864199 is 99146890043.

It is a de Polignac number, because none of the positive numbers 2^k-34009864199 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34009864199.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34009866199) 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, 1278959 + ... + 1305279.

It is an arithmetic number, because the mean of its divisors is an integer number (2267113860).

Almost surely, 2^34009864199 is an apocalyptic number.

34009864199 is a deficient number, since it is larger than the sum of its proper divisors (2263957561).

34009864199 is an equidigital number, since it uses as much as digits as its factorization.

34009864199 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26635 (or 26601 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 53.

The spelling of 34009864199 in words is "thirty-four billion, nine million, eight hundred sixty-four thousand, one hundred ninety-nine".