34045414470336 has 112 divisors (see below), whose sum is σ = 91014036635520. Its totient is φ = 11230826250240.

The previous prime is 34045414470187. The next prime is 34045414470373. The reversal of 34045414470336 is 63307441454043.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19094880 + ... + 20801568.

Almost surely, 2^{34045414470336} 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 34045414470336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45507018317760).

34045414470336 is an abundant number, since it is smaller than the sum of its proper divisors (56968622165184).

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

34045414470336 is a wasteful number, since it uses less digits than its factorization.

34045414470336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707782 (or 1707772 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 48.

The spelling of 34045414470336 in words is "thirty-four trillion, forty-five billion, four hundred fourteen million, four hundred seventy thousand, three hundred thirty-six".