34841772846864 has 135 divisors (see below), whose sum is σ = 102914684835573. Its totient is φ = 11002240115712.

The previous prime is 34841772846823. The next prime is 34841772846941. The reversal of 34841772846864 is 46864827714843.

It is a happy number.

The square root of 34841772846864 is 5902692.

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

34841772846864 is a `hidden beast` number, since 3 + 4 + 8 + 417 + 72 + 84 + 6 + 8 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33303379144464 + 1538393702400 = 5770908^2 + 1240320^2 .

It is a super-2 number, since 2×34841772846864² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 34841772846792 and 34841772846801.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1345800832 + ... + 1345826720.

Almost surely, 2^{34841772846864} is an apocalyptic number.

34841772846864 is the 5902692-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34841772846864

34841772846864 is an abundant number, since it is smaller than the sum of its proper divisors (68072911988709).

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

34841772846864 is an frugal number, since it uses more digits than its factorization.

34841772846864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51830 (or 25913 counting only the distinct ones).

The product of its digits is 1387266048, while the sum is 72.

The spelling of 34841772846864 in words is "thirty-four trillion, eight hundred forty-one billion, seven hundred seventy-two million, eight hundred forty-six thousand, eight hundred sixty-four".