34033430000 has 100 divisors (see below), whose sum is σ = 82857983208. Its totient is φ = 13537440000.

The previous prime is 34033429961. The next prime is 34033430029. The reversal of 34033430000 is 3433043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

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 19 ways as a sum of consecutive naturals, for example, 1800599 + ... + 1819401.

Almost surely, 2^34033430000 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 34033430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41428991604).

34033430000 is an abundant number, since it is smaller than the sum of its proper divisors (48824553208).

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

34033430000 is a wasteful number, since it uses less digits than its factorization.

34033430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19012 (or 18991 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 34033430000 its reverse (3433043), we get a palindrome (34036863043).

The spelling of 34033430000 in words is "thirty-four billion, thirty-three million, four hundred thirty thousand".