34691813105664 has 896 divisors, whose sum is σ = 112623274229760. Its totient is φ = 9354254745600.

The previous prime is 34691813105647. The next prime is 34691813105669. The reversal of 34691813105664 is 46650131819643.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34691813105669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39111401029 + ... + 39111401915.

It is an arithmetic number, because the mean of its divisors is an integer number (125695618560).

Almost surely, 2^{34691813105664} 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 34691813105664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56311637114880).

34691813105664 is an abundant number, since it is smaller than the sum of its proper divisors (77931461124096).

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

34691813105664 is a wasteful number, since it uses less digits than its factorization.

34691813105664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 57.

The spelling of 34691813105664 in words is "thirty-four trillion, six hundred ninety-one billion, eight hundred thirteen million, one hundred five thousand, six hundred sixty-four".