34044224208 has 160 divisors (see below), whose sum is σ = 94550198400. Its totient is φ = 10517495808.

The previous prime is 34044224161. The next prime is 34044224231. The reversal of 34044224208 is 80242244043.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27700138 + ... + 27701366.

It is an arithmetic number, because the mean of its divisors is an integer number (590938740).

Almost surely, 2^34044224208 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 34044224208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47275099200).

34044224208 is an abundant number, since it is smaller than the sum of its proper divisors (60505974192).

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

34044224208 is a wasteful number, since it uses less digits than its factorization.

34044224208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1749 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

The spelling of 34044224208 in words is "thirty-four billion, forty-four million, two hundred twenty-four thousand, two hundred eight".