34343411422344 has 128 divisors (see below), whose sum is σ = 89548549159680. Its totient is φ = 10966717440000.

The previous prime is 34343411422303. The next prime is 34343411422349. The reversal of 34343411422344 is 44322411434343.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 34343411422296 and 34343411422305.

It is not an unprimeable number, because it can be changed into a prime (34343411422349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14018644 + ... + 16285244.

It is an arithmetic number, because the mean of its divisors is an integer number (699598040310).

Almost surely, 2^{34343411422344} 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 34343411422344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44774274579840).

34343411422344 is an abundant number, since it is smaller than the sum of its proper divisors (55205137737336).

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

34343411422344 is a wasteful number, since it uses less digits than its factorization.

34343411422344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2266911 (or 2266907 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 42.

Adding to 34343411422344 its reverse (44322411434343), we get a palindrome (78665822856687).

The spelling of 34343411422344 in words is "thirty-four trillion, three hundred forty-three billion, four hundred eleven million, four hundred twenty-two thousand, three hundred forty-four".