34208665840128 has 480 divisors, whose sum is σ = 104538897207360. Its totient is φ = 9879811522560.

The previous prime is 34208665840067. The next prime is 34208665840163. The reversal of 34208665840128 is 82104856680243.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2187107188 + ... + 2187122828.

It is an arithmetic number, because the mean of its divisors is an integer number (217789369182).

Almost surely, 2^{34208665840128} 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 34208665840128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52269448603680).

34208665840128 is an abundant number, since it is smaller than the sum of its proper divisors (70330231367232).

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

34208665840128 is a wasteful number, since it uses less digits than its factorization.

34208665840128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16088 (or 16055 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 57.

The spelling of 34208665840128 in words is "thirty-four trillion, two hundred eight billion, six hundred sixty-five million, eight hundred forty thousand, one hundred twenty-eight".