34141973070744 has 768 divisors, whose sum is σ = 121982179737600. Its totient is φ = 8368512537600.

The previous prime is 34141973070679. The next prime is 34141973070761. The reversal of 34141973070744 is 44707037914143.

34141973070744 is a `hidden beast` number, since 3 + 414 + 1 + 97 + 3 + 0 + 70 + 74 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2237489787 + ... + 2237505045.

It is an arithmetic number, because the mean of its divisors is an integer number (158830963200).

Almost surely, 2^{34141973070744} 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 34141973070744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60991089868800).

34141973070744 is an abundant number, since it is smaller than the sum of its proper divisors (87840206666856).

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

34141973070744 is a wasteful number, since it uses less digits than its factorization.

34141973070744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15644 (or 15637 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 34141973070744 in words is "thirty-four trillion, one hundred forty-one billion, nine hundred seventy-three million, seventy thousand, seven hundred forty-four".