34144010022344 has 8 divisors (see below), whose sum is σ = 64020018791910. Its totient is φ = 17072005011168.

The previous prime is 34144010022337. The next prime is 34144010022467. The reversal of 34144010022344 is 44322001044143.

It can be written as a sum of positive squares in only one way, i.e., 33612513616900 + 531496405444 = 5797630^2 + 729038^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a self number, because there is not a number n which added to its sum of digits gives 34144010022344.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2134000626389 + ... + 2134000626404.

Almost surely, 2^{34144010022344} is an apocalyptic number.

It is an amenable number.

34144010022344 is a deficient number, since it is larger than the sum of its proper divisors (29876008769566).

34144010022344 is a wasteful number, since it uses less digits than its factorization.

34144010022344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4268001252799 (or 4268001252795 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 34144010022344 its reverse (44322001044143), we get a palindrome (78466011066487).

The spelling of 34144010022344 in words is "thirty-four trillion, one hundred forty-four billion, ten million, twenty-two thousand, three hundred forty-four".