34047384768 has 84 divisors (see below), whose sum is σ = 97787079000. Its totient is φ = 11326288896.

The previous prime is 34047384751. The next prime is 34047384829. The reversal of 34047384768 is 86748374043.

34047384768 is a `hidden beast` number, since 34 + 0 + 473 + 84 + 7 + 68 = 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 11 ways as a sum of consecutive naturals, for example, 228196 + ... + 346652.

Almost surely, 2^34047384768 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 34047384768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48893539500).

34047384768 is an abundant number, since it is smaller than the sum of its proper divisors (63739694232).

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

34047384768 is a wasteful number, since it uses less digits than its factorization.

34047384768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118974 (or 118961 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 34047384768 in words is "thirty-four billion, forty-seven million, three hundred eighty-four thousand, seven hundred sixty-eight".