34337965533872 has 640 divisors, whose sum is σ = 95388561408000. Its totient is φ = 11530631024640.

The previous prime is 34337965533847. The next prime is 34337965533997. The reversal of 34337965533872 is 27833556973343.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19929172403 + ... + 19929174125.

It is an arithmetic number, because the mean of its divisors is an integer number (149044627200).

Almost surely, 2^{34337965533872} 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 34337965533872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47694280704000).

34337965533872 is an abundant number, since it is smaller than the sum of its proper divisors (61050595874128).

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

34337965533872 is a wasteful number, since it uses less digits than its factorization.

34337965533872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2689 (or 2683 counting only the distinct ones).

The product of its digits is 1028764800, while the sum is 68.

The spelling of 34337965533872 in words is "thirty-four trillion, three hundred thirty-seven billion, nine hundred sixty-five million, five hundred thirty-three thousand, eight hundred seventy-two".