34113443000 has 256 divisors, whose sum is σ = 98736019200. Its totient is φ = 10742630400.

The previous prime is 34113442997. The next prime is 34113443017. The reversal of 34113443000 is 34431143.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20838182 + ... + 20839818.

It is an arithmetic number, because the mean of its divisors is an integer number (385687575).

Almost surely, 2^34113443000 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 34113443000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49368009600).

34113443000 is an abundant number, since it is smaller than the sum of its proper divisors (64622576200).

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

34113443000 is a wasteful number, since it uses less digits than its factorization.

34113443000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907 (or 1893 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 34113443000 its reverse (34431143), we get a palindrome (34147874143).

The spelling of 34113443000 in words is "thirty-four billion, one hundred thirteen million, four hundred forty-three thousand".