34461535552896 has 256 divisors, whose sum is σ = 93953860070400. Its totient is φ = 11188897873920.

The previous prime is 34461535552891. The next prime is 34461535552909. The reversal of 34461535552896 is 69825553516443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34461535552891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 782252406 + ... + 782296458.

It is an arithmetic number, because the mean of its divisors is an integer number (367007265900).

Almost surely, 2^{34461535552896} 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 34461535552896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46976930035200).

34461535552896 is an abundant number, since it is smaller than the sum of its proper divisors (59492324517504).

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

34461535552896 is a wasteful number, since it uses less digits than its factorization.

34461535552896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44497 (or 44485 counting only the distinct ones).

The product of its digits is 466560000, while the sum is 66.

The spelling of 34461535552896 in words is "thirty-four trillion, four hundred sixty-one billion, five hundred thirty-five million, five hundred fifty-two thousand, eight hundred ninety-six".