34336709568 has 448 divisors, whose sum is σ = 121912197120. Its totient is φ = 9264651264.

The previous prime is 34336709557. The next prime is 34336709581. The reversal of 34336709568 is 86590763343.

34336709568 is a `hidden beast` number, since 3 + 4 + 3 + 3 + 6 + 70 + 9 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 23090521 + ... + 23092007.

It is an arithmetic number, because the mean of its divisors is an integer number (272125440).

Almost surely, 2^34336709568 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 34336709568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60956098560).

34336709568 is an abundant number, since it is smaller than the sum of its proper divisors (87575487552).

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

34336709568 is a wasteful number, since it uses less digits than its factorization.

34336709568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 34336709568 in words is "thirty-four billion, three hundred thirty-six million, seven hundred nine thousand, five hundred sixty-eight".