34035638560 has 192 divisors, whose sum is σ = 101191265280. Its totient is φ = 10508958720.

The previous prime is 34035638537. The next prime is 34035638591. The reversal of 34035638560 is 6583653043.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1305331 + ... + 1331149.

It is an arithmetic number, because the mean of its divisors is an integer number (527037840).

Almost surely, 2^34035638560 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 34035638560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50595632640).

34035638560 is an abundant number, since it is smaller than the sum of its proper divisors (67155626720).

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

34035638560 is a wasteful number, since it uses less digits than its factorization.

34035638560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25959 (or 25951 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 43.

The spelling of 34035638560 in words is "thirty-four billion, thirty-five million, six hundred thirty-eight thousand, five hundred sixty".