34114222320 has 80 divisors (see below), whose sum is σ = 111974931360. Its totient is φ = 8561999872.

The previous prime is 34114222283. The next prime is 34114222327. The reversal of 34114222320 is 2322241143.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34114222327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4176585 + ... + 4184744.

It is an arithmetic number, because the mean of its divisors is an integer number (1399686642).

Almost surely, 2^34114222320 is an apocalyptic number.

34114222320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34114222320 is an abundant number, since it is smaller than the sum of its proper divisors (77860709040).

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

34114222320 is a wasteful number, since it uses less digits than its factorization.

34114222320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8361362 (or 8361356 counting only the distinct ones).

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

Adding to 34114222320 its reverse (2322241143), we get a palindrome (36436463463).

The spelling of 34114222320 in words is "thirty-four billion, one hundred fourteen million, two hundred twenty-two thousand, three hundred twenty".