34003719350304 has 768 divisors, whose sum is σ = 112556416057344. Its totient is φ = 8857360793600.

The previous prime is 34003719350297. The next prime is 34003719350417. The reversal of 34003719350304 is 40305391730043.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 795629224 + ... + 795671960.

It is an arithmetic number, because the mean of its divisors is an integer number (146557833408).

Almost surely, 2^{34003719350304} is an apocalyptic number.

34003719350304 is a gapful number since it is divisible by the number (34) 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 34003719350304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56278208028672).

34003719350304 is an abundant number, since it is smaller than the sum of its proper divisors (78552696707040).

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

34003719350304 is a wasteful number, since it uses less digits than its factorization.

34003719350304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42889 (or 42881 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 42.

The spelling of 34003719350304 in words is "thirty-four trillion, three billion, seven hundred nineteen million, three hundred fifty thousand, three hundred four".