34522339369344 has 384 divisors, whose sum is σ = 99164527687680. Its totient is φ = 10629237104640.

The previous prime is 34522339369307. The next prime is 34522339369351. The reversal of 34522339369344 is 44396393322543.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3066738564 + ... + 3066749820.

It is an arithmetic number, because the mean of its divisors is an integer number (258240957520).

Almost surely, 2^{34522339369344} 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 34522339369344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49582263843840).

34522339369344 is an abundant number, since it is smaller than the sum of its proper divisors (64642188318336).

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

34522339369344 is a wasteful number, since it uses less digits than its factorization.

34522339369344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11838 (or 11803 counting only the distinct ones).

The product of its digits is 151165440, while the sum is 60.

The spelling of 34522339369344 in words is "thirty-four trillion, five hundred twenty-two billion, three hundred thirty-nine million, three hundred sixty-nine thousand, three hundred forty-four".