34204421313344 has 56 divisors (see below), whose sum is σ = 68858805241728. Its totient is φ = 16854370158080.

The previous prime is 34204421313341. The next prime is 34204421313373. The reversal of 34204421313344 is 44331312440243.

It is a junction number, because it is equal to n+sod(n) for n = 34204421313298 and 34204421313307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34204421313341) 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 7 ways as a sum of consecutive naturals, for example, 9456794 + ... + 12563430.

Almost surely, 2^{34204421313344} 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 34204421313344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34429402620864).

34204421313344 is an abundant number, since it is smaller than the sum of its proper divisors (34654383928384).

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

34204421313344 is a wasteful number, since it uses less digits than its factorization.

34204421313344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3109143 (or 3109133 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 38.

Adding to 34204421313344 its reverse (44331312440243), we get a palindrome (78535733753587).

The spelling of 34204421313344 in words is "thirty-four trillion, two hundred four billion, four hundred twenty-one million, three hundred thirteen thousand, three hundred forty-four".