34330030033000 has 64 divisors (see below), whose sum is σ = 86511675715920. Its totient is φ = 12675703392000.

The previous prime is 34330030032983. The next prime is 34330030033027. The reversal of 34330030033000 is 33003003343.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 979890131236 + 33350139901764 = 989894^2 + 5774958^2 .

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 15 ways as a sum of consecutive naturals, for example, 1320372771 + ... + 1320398770.

Almost surely, 2^{34330030033000} is an apocalyptic number.

It is an amenable number.

34330030033000 is an abundant number, since it is smaller than the sum of its proper divisors (52181645682920).

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

34330030033000 is a wasteful number, since it uses less digits than its factorization.

34330030033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640771575 (or 2640771561 counting only the distinct ones).

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

Adding to 34330030033000 its reverse (33003003343), we get a palindrome (34363033036343).

The spelling of 34330030033000 in words is "thirty-four trillion, three hundred thirty billion, thirty million, thirty-three thousand".