34436064065000 has 320 divisors, whose sum is σ = 91118031958800. Its totient is φ = 12108192768000.

The previous prime is 34436064064939. The next prime is 34436064065059. The reversal of 34436064065000 is 56046063443.

It can be written as a sum of positive squares in 40 ways, for example, as 34371790660516 + 64273404484 = 5862746^2 + 253522^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 137479874 + ... + 137730126.

Almost surely, 2^{34436064065000} 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 34436064065000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45559015979400).

34436064065000 is an abundant number, since it is smaller than the sum of its proper divisors (56681967893800).

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

34436064065000 is a wasteful number, since it uses less digits than its factorization.

34436064065000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250394 (or 250375 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 41.

The spelling of 34436064065000 in words is "thirty-four trillion, four hundred thirty-six billion, sixty-four million, sixty-five thousand".