34330003033000 has 128 divisors (see below), whose sum is σ = 80974426759200. Its totient is φ = 13622653440000.

The previous prime is 34330003032911. The next prime is 34330003033013. The reversal of 34330003033000 is 33030003343.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 102378241156 + 34227624791844 = 319966^2 + 5850438^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63162400 + ... + 63703600.

Almost surely, 2^{34330003033000} 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 34330003033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40487213379600).

34330003033000 is an abundant number, since it is smaller than the sum of its proper divisors (46644423726200).

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

34330003033000 is a wasteful number, since it uses less digits than its factorization.

34330003033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541728 (or 541714 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 22.

Adding to 34330003033000 its reverse (33030003343), we get a palindrome (34363033036343).

The spelling of 34330003033000 in words is "thirty-four trillion, three hundred thirty billion, three million, thirty-three thousand".