34240116064000 has 576 divisors, whose sum is σ = 106406335107072. Its totient is φ = 10665947136000.

The previous prime is 34240116063943. The next prime is 34240116064079. The reversal of 34240116064000 is 46061104243.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5896349097 + ... + 5896354903.

It is an arithmetic number, because the mean of its divisors is an integer number (184733220672).

Almost surely, 2^{34240116064000} 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 34240116064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53203167553536).

34240116064000 is an abundant number, since it is smaller than the sum of its proper divisors (72166219043072).

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

34240116064000 is a wasteful number, since it uses less digits than its factorization.

34240116064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8249 (or 8225 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 34240116064000 its reverse (46061104243), we get a palindrome (34286177168243).

The spelling of 34240116064000 in words is "thirty-four trillion, two hundred forty billion, one hundred sixteen million, sixty-four thousand".