34682352781824 has 640 divisors, whose sum is σ = 112988963957760. Its totient is φ = 10416959078400.

The previous prime is 34682352781801. The next prime is 34682352781897. The reversal of 34682352781824 is 42818725328643.

It is a happy number.

34682352781824 is a `hidden beast` number, since 3 + 4 + 6 + 8 + 2 + 3 + 527 + 81 + 8 + 24 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8477718019 + ... + 8477722109.

It is an arithmetic number, because the mean of its divisors is an integer number (176545256184).

Almost surely, 2^{34682352781824} 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 34682352781824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56494481978880).

34682352781824 is an abundant number, since it is smaller than the sum of its proper divisors (78306611175936).

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

34682352781824 is a wasteful number, since it uses less digits than its factorization.

34682352781824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4609 (or 4587 counting only the distinct ones).

The product of its digits is 123863040, while the sum is 63.

The spelling of 34682352781824 in words is "thirty-four trillion, six hundred eighty-two billion, three hundred fifty-two million, seven hundred eighty-one thousand, eight hundred twenty-four".