34982864781312 has 256 divisors, whose sum is σ = 106792061184000. Its totient is φ = 9978300334080.

The previous prime is 34982864781289. The next prime is 34982864781349. The reversal of 34982864781312 is 21318746828943.

It is a tau number, because it is divible by the number of its divisors (256).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 412146237 + ... + 412231107.

It is an arithmetic number, because the mean of its divisors is an integer number (417156489000).

Almost surely, 2^{34982864781312} is an apocalyptic number.

34982864781312 is a gapful number since it is divisible by the number (32) 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 34982864781312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53396030592000).

34982864781312 is an abundant number, since it is smaller than the sum of its proper divisors (71809196402688).

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

34982864781312 is an frugal number, since it uses more digits than its factorization.

34982864781312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85510 (or 85482 counting only the distinct ones).

The product of its digits is 111476736, while the sum is 66.

The spelling of 34982864781312 in words is "thirty-four trillion, nine hundred eighty-two billion, eight hundred sixty-four million, seven hundred eighty-one thousand, three hundred twelve".