34023441000 has 256 divisors, whose sum is σ = 108991733760. Its totient is φ = 8832441600.

The previous prime is 34023440993. The next prime is 34023441017. The reversal of 34023441000 is 14432043.

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, 32006469 + ... + 32007531.

It is an arithmetic number, because the mean of its divisors is an integer number (425748960).

Almost surely, 2^34023441000 is an apocalyptic number.

34023441000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34023441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54495866880).

34023441000 is an abundant number, since it is smaller than the sum of its proper divisors (74968292760).

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

34023441000 is a wasteful number, since it uses less digits than its factorization.

34023441000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 34023441000 its reverse (14432043), we get a palindrome (34037873043).

The spelling of 34023441000 in words is "thirty-four billion, twenty-three million, four hundred forty-one thousand".