34011221344409 has 4 divisors (see below), whose sum is σ = 34011233008740. Its totient is φ = 34011209680080.

The previous prime is 34011221344393. The next prime is 34011221344423. The reversal of 34011221344409 is 90444312211043.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 29645879708809 + 4365341635600 = 5444803^2 + 2089340^2 .

It is a cyclic number.

It is not a de Polignac number, because 34011221344409 - 2⁴ = 34011221344393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34011221344439) 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 3 ways as a sum of consecutive naturals, for example, 2834927 + ... + 8721195.

It is an arithmetic number, because the mean of its divisors is an integer number (8502808252185).

Almost surely, 2^{34011221344409} is an apocalyptic number.

It is an amenable number.

34011221344409 is a deficient number, since it is larger than the sum of its proper divisors (11664331).

34011221344409 is an equidigital number, since it uses as much as digits as its factorization.

34011221344409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11664330.

The product of its (nonzero) digits is 82944, while the sum is 38.

The spelling of 34011221344409 in words is "thirty-four trillion, eleven billion, two hundred twenty-one million, three hundred forty-four thousand, four hundred nine".