34421121904224 has 384 divisors, whose sum is σ = 102283639750656. Its totient is φ = 10041242112000.

The previous prime is 34421121904207. The next prime is 34421121904249. The reversal of 34421121904224 is 42240912112443.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13599809839 + ... + 13599812369.

It is an arithmetic number, because the mean of its divisors is an integer number (266363645184).

Almost surely, 2^{34421121904224} 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 34421121904224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51141819875328).

34421121904224 is an abundant number, since it is smaller than the sum of its proper divisors (67862517846432).

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

34421121904224 is a wasteful number, since it uses less digits than its factorization.

34421121904224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4602 (or 4594 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 34421121904224 in words is "thirty-four trillion, four hundred twenty-one billion, one hundred twenty-one million, nine hundred four thousand, two hundred twenty-four".