34414110560 has 96 divisors (see below), whose sum is σ = 81770163552. Its totient is φ = 13686865920.

The previous prime is 34414110559. The next prime is 34414110581. The reversal of 34414110560 is 6501141443.

It is a congruent number.

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, 31485374 + ... + 31486466.

It is an arithmetic number, because the mean of its divisors is an integer number (851772537).

Almost surely, 2^34414110560 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 34414110560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40885081776).

34414110560 is an abundant number, since it is smaller than the sum of its proper divisors (47356052992).

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

34414110560 is a wasteful number, since it uses less digits than its factorization.

34414110560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The spelling of 34414110560 in words is "thirty-four billion, four hundred fourteen million, one hundred ten thousand, five hundred sixty".