34233011030000 has 200 divisors, whose sum is σ = 83414833108992. Its totient is φ = 13605171424000.

The previous prime is 34233011029993. The next prime is 34233011030083. The reversal of 34233011030000 is 3011033243.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-3 number, since 3×34233011030000³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6892087517 + ... + 6892092483.

Almost surely, 2^{34233011030000} 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 34233011030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41707416554496).

34233011030000 is an abundant number, since it is smaller than the sum of its proper divisors (49181822078992).

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

34233011030000 is a wasteful number, since it uses less digits than its factorization.

34233011030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9289 (or 9268 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 34233011030000 its reverse (3011033243), we get a palindrome (34236022063243).

The spelling of 34233011030000 in words is "thirty-four trillion, two hundred thirty-three billion, eleven million, thirty thousand".