34768849389120 has 2688 divisors, whose sum is σ = 160648814592000. Its totient is φ = 7067551518720.

The previous prime is 34768849389031. The next prime is 34768849389179. The reversal of 34768849389120 is 2198394886743.

34768849389120 is a `hidden beast` number, since 3 + 4 + 7 + 6 + 8 + 8 + 493 + 8 + 9 + 120 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 16853537209 + ... + 16853539271.

It is an arithmetic number, because the mean of its divisors is an integer number (59765184000).

Almost surely, 2^{34768849389120} is an apocalyptic number.

34768849389120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34768849389120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80324407296000).

34768849389120 is an abundant number, since it is smaller than the sum of its proper divisors (125879965202880).

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

34768849389120 is a wasteful number, since it uses less digits than its factorization.

34768849389120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2179 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 34768849389120 in words is "thirty-four trillion, seven hundred sixty-eight billion, eight hundred forty-nine million, three hundred eighty-nine thousand, one hundred twenty".