34984245688128 has 448 divisors, whose sum is σ = 118933191648000. Its totient is φ = 9966223687680.

The previous prime is 34984245688123. The next prime is 34984245688141. The reversal of 34984245688128 is 82188654248943.

It is a happy number.

34984245688128 is a `hidden beast` number, since 3 + 4 + 9 + 8 + 42 + 4 + 568 + 8 + 12 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34984245688123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 283328548 + ... + 283451996.

Almost surely, 2^{34984245688128} 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 34984245688128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59466595824000).

34984245688128 is an abundant number, since it is smaller than the sum of its proper divisors (83948945959872).

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

34984245688128 is a wasteful number, since it uses less digits than its factorization.

34984245688128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124375 (or 124359 counting only the distinct ones).

The product of its digits is 849346560, while the sum is 72.

The spelling of 34984245688128 in words is "thirty-four trillion, nine hundred eighty-four billion, two hundred forty-five million, six hundred eighty-eight thousand, one hundred twenty-eight".