34442522334 has 96 divisors (see below), whose sum is σ = 84125718144. Its totient is φ = 10092392640.

The previous prime is 34442522329. The next prime is 34442522339. The reversal of 34442522334 is 43322524443.

34442522334 is a `hidden beast` number, since 3 + 4 + 4 + 425 + 223 + 3 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (34442522329) and next prime (34442522339).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34442522339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1179717 + ... + 1208559.

It is an arithmetic number, because the mean of its divisors is an integer number (876309564).

Almost surely, 2^34442522334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34442522334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42062859072).

34442522334 is an abundant number, since it is smaller than the sum of its proper divisors (49683195810).

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

34442522334 is a wasteful number, since it uses less digits than its factorization.

34442522334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29062 (or 29059 counting only the distinct ones).

The product of its digits is 276480, while the sum is 36.

The spelling of 34442522334 in words is "thirty-four billion, four hundred forty-two million, five hundred twenty-two thousand, three hundred thirty-four".