34857636804 has 135 divisors (see below), whose sum is σ = 93792352017. Its totient is φ = 10915345728.

The previous prime is 34857636799. The next prime is 34857636887. The reversal of 34857636804 is 40863675843.

The square root of 34857636804 is 186702.

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

34857636804 is a `hidden beast` number, since 3 + 4 + 8 + 576 + 3 + 68 + 0 + 4 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 2690496900 + 32167139904 = 51870^2 + 179352^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 942098274 + ... + 942098310.

Almost surely, 2^34857636804 is an apocalyptic number.

34857636804 is the 186702-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34857636804

34857636804 is an abundant number, since it is smaller than the sum of its proper divisors (58934715213).

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

34857636804 is an frugal number, since it uses more digits than its factorization.

34857636804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 34857636804 in words is "thirty-four billion, eight hundred fifty-seven million, six hundred thirty-six thousand, eight hundred four".