34050775888608 has 192 divisors, whose sum is σ = 93506779054080. Its totient is φ = 10829169888768.

The previous prime is 34050775888607. The next prime is 34050775888673. The reversal of 34050775888608 is 80688857705043.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34050775888601) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3740605785 + ... + 3740614887.

It is an arithmetic number, because the mean of its divisors is an integer number (487014474240).

Almost surely, 2^{34050775888608} 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 34050775888608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46753389527040).

34050775888608 is an abundant number, since it is smaller than the sum of its proper divisors (59456003165472).

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

34050775888608 is a wasteful number, since it uses less digits than its factorization.

34050775888608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13261 (or 13253 counting only the distinct ones).

The product of its (nonzero) digits is 361267200, while the sum is 69.

The spelling of 34050775888608 in words is "thirty-four trillion, fifty billion, seven hundred seventy-five million, eight hundred eighty-eight thousand, six hundred eight".