34226327968 has 192 divisors, whose sum is σ = 82896887808. Its totient is φ = 13593507840.

The previous prime is 34226327963. The next prime is 34226327983. The reversal of 34226327968 is 86972362243.

It is not an unprimeable number, because it can be changed into a prime (34226327963) 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, 25908748 + ... + 25910068.

It is an arithmetic number, because the mean of its divisors is an integer number (431754624).

Almost surely, 2^34226327968 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 34226327968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41448443904).

34226327968 is an abundant number, since it is smaller than the sum of its proper divisors (48670559840).

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

34226327968 is a wasteful number, since it uses less digits than its factorization.

34226327968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515 (or 1507 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 52.

The spelling of 34226327968 in words is "thirty-four billion, two hundred twenty-six million, three hundred twenty-seven thousand, nine hundred sixty-eight".