34213445616 has 240 divisors, whose sum is σ = 111721896960. Its totient is φ = 8961684480.

The previous prime is 34213445587. The next prime is 34213445621. The reversal of 34213445616 is 61654431243.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1372980 + ... + 1397676.

It is an arithmetic number, because the mean of its divisors is an integer number (465507904).

Almost surely, 2^34213445616 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 34213445616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55860948480).

34213445616 is an abundant number, since it is smaller than the sum of its proper divisors (77508451344).

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

34213445616 is a wasteful number, since it uses less digits than its factorization.

34213445616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24772 (or 24759 counting only the distinct ones).

The product of its digits is 207360, while the sum is 39.

Adding to 34213445616 its reverse (61654431243), we get a palindrome (95867876859).

The spelling of 34213445616 in words is "thirty-four billion, two hundred thirteen million, four hundred forty-five thousand, six hundred sixteen".