34068063744 has 720 divisors, whose sum is σ = 120206150064. Its totient is φ = 9201254400.

The previous prime is 34068063739. The next prime is 34068063793. The reversal of 34068063744 is 44736086043.

34068063744 is a `hidden beast` number, since 3 + 4 + 0 + 6 + 8 + 0 + 637 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 34068063744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 351217104 + ... + 351217200.

Almost surely, 2^34068063744 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 34068063744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60103075032).

34068063744 is an abundant number, since it is smaller than the sum of its proper divisors (86138086320).

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

34068063744 is a wasteful number, since it uses less digits than its factorization.

34068063744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 34068063744 in words is "thirty-four billion, sixty-eight million, sixty-three thousand, seven hundred forty-four".