34341065545556 has 192 divisors, whose sum is σ = 77623750600704. Its totient is φ = 12906298944000.

The previous prime is 34341065545537. The next prime is 34341065545603. The reversal of 34341065545556 is 65554556014343.

It is a super-3 number, since 3×34341065545556³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 531012335 + ... + 531077001.

It is an arithmetic number, because the mean of its divisors is an integer number (404290367712).

Almost surely, 2^{34341065545556} 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 34341065545556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38811875300352).

34341065545556 is an abundant number, since it is smaller than the sum of its proper divisors (43282685055148).

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

34341065545556 is a wasteful number, since it uses less digits than its factorization.

34341065545556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65230 (or 65228 counting only the distinct ones).

The product of its (nonzero) digits is 64800000, while the sum is 56.

The spelling of 34341065545556 in words is "thirty-four trillion, three hundred forty-one billion, sixty-five million, five hundred forty-five thousand, five hundred fifty-six".