34023002000 has 160 divisors (see below), whose sum is σ = 89922827904. Its totient is φ = 12374208000.

The previous prime is 34023001993. The next prime is 34023002087. The reversal of 34023002000 is 20032043.

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, 1732235 + ... + 1751765.

Almost surely, 2^34023002000 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 34023002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44961413952).

34023002000 is an abundant number, since it is smaller than the sum of its proper divisors (55899825904).

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

34023002000 is a wasteful number, since it uses less digits than its factorization.

34023002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19634 (or 19618 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

Adding to 34023002000 its reverse (20032043), we get a palindrome (34043034043).

The spelling of 34023002000 in words is "thirty-four billion, twenty-three million, two thousand".