34123001024 has 224 divisors, whose sum is σ = 81418176000. Its totient is φ = 14177479680.

The previous prime is 34123001021. The next prime is 34123001111. The reversal of 34123001024 is 42010032143.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 34123000987 and 34123001005.

It is not an unprimeable number, because it can be changed into a prime (34123001021) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 161720279 + ... + 161720489.

It is an arithmetic number, because the mean of its divisors is an integer number (363474000).

Almost surely, 2^34123001024 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 34123001024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40709088000).

34123001024 is an abundant number, since it is smaller than the sum of its proper divisors (47295174976).

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

34123001024 is a wasteful number, since it uses less digits than its factorization.

34123001024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 34123001024 its reverse (42010032143), we get a palindrome (76133033167).

The spelling of 34123001024 in words is "thirty-four billion, one hundred twenty-three million, one thousand, twenty-four".