34557322816 has 63 divisors (see below), whose sum is σ = 72433064811. Its totient is φ = 16355873664.

The previous prime is 34557322799. The next prime is 34557322823. The reversal of 34557322816 is 61822375543.

The square root of 34557322816 is 185896.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 28255581 + ... + 28256803.

Almost surely, 2^34557322816 is an apocalyptic number.

34557322816 is the 185896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34557322816

34557322816 is an abundant number, since it is smaller than the sum of its proper divisors (37875741995).

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

34557322816 is an frugal number, since it uses more digits than its factorization.

34557322816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2496 (or 1244 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 46.

The spelling of 34557322816 in words is "thirty-four billion, five hundred fifty-seven million, three hundred twenty-two thousand, eight hundred sixteen".