34768316544 has 256 divisors, whose sum is σ = 101138042880. Its totient is φ = 10519068672.

The previous prime is 34768316537. The next prime is 34768316563. The reversal of 34768316544 is 44561386743.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109679074 + ... + 109679390.

It is an arithmetic number, because the mean of its divisors is an integer number (395070480).

Almost surely, 2^34768316544 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 34768316544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50569021440).

34768316544 is an abundant number, since it is smaller than the sum of its proper divisors (66369726336).

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

34768316544 is a wasteful number, since it uses less digits than its factorization.

34768316544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 635 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 51.

The spelling of 34768316544 in words is "thirty-four billion, seven hundred sixty-eight million, three hundred sixteen thousand, five hundred forty-four".