34114314431344 has 80 divisors (see below), whose sum is σ = 76258753627392. Its totient is φ = 14481256817664.

The previous prime is 34114314431297. The next prime is 34114314431383. The reversal of 34114314431344 is 44313441341143.

It is a junction number, because it is equal to n+sod(n) for n = 34114314431297 and 34114314431306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17860047 + ... + 19677649.

Almost surely, 2^{34114314431344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34114314431344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38129376813696).

34114314431344 is an abundant number, since it is smaller than the sum of its proper divisors (42144439196048).

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

34114314431344 is a wasteful number, since it uses less digits than its factorization.

34114314431344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1819214 (or 1819208 counting only the distinct ones).

The product of its digits is 331776, while the sum is 40.

Adding to 34114314431344 its reverse (44313441341143), we get a palindrome (78427755772487).

The spelling of 34114314431344 in words is "thirty-four trillion, one hundred fourteen billion, three hundred fourteen million, four hundred thirty-one thousand, three hundred forty-four".