34400122314 has 16 divisors (see below), whose sum is σ = 68806167552. Its totient is φ = 11465720288.

The previous prime is 34400122313. The next prime is 34400122327. The reversal of 34400122314 is 41322100443.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34400122313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 169419 + ... + 312254.

It is an arithmetic number, because the mean of its divisors is an integer number (4300385472).

Almost surely, 2^34400122314 is an apocalyptic number.

34400122314 is an abundant number, since it is smaller than the sum of its proper divisors (34406045238).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34400122314 is a wasteful number, since it uses less digits than its factorization.

34400122314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493581.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 34400122314 its reverse (41322100443), we get a palindrome (75722222757).

The spelling of 34400122314 in words is "thirty-four billion, four hundred million, one hundred twenty-two thousand, three hundred fourteen".