34221305840 has 80 divisors (see below), whose sum is σ = 83874229920. Its totient is φ = 12949171200.

The previous prime is 34221305771. The next prime is 34221305851. The reversal of 34221305840 is 4850312243.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 34221305797 and 34221305806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1049462 + ... + 1081578.

It is an arithmetic number, because the mean of its divisors is an integer number (1048427874).

Almost surely, 2^34221305840 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 34221305840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41937114960).

34221305840 is an abundant number, since it is smaller than the sum of its proper divisors (49652924080).

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

34221305840 is a wasteful number, since it uses less digits than its factorization.

34221305840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32850 (or 32844 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The spelling of 34221305840 in words is "thirty-four billion, two hundred twenty-one million, three hundred five thousand, eight hundred forty".