34287558561 has 9 divisors (see below), whose sum is σ = 49527275889. Its totient is φ = 22858002036.

The previous prime is 34287558533. The next prime is 34287558589. The reversal of 34287558561 is 16585578243.

The square root of 34287558561 is 185169.

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

34287558561 is a `hidden beast` number, since 3 + 4 + 2 + 8 + 75 + 5 + 8 + 561 = 666.

It is an interprime number because it is at equal distance from previous prime (34287558533) and next prime (34287558589).

It is a tau number, because it is divible by the number of its divisors (9).

It is a de Polignac number, because none of the positive numbers 2^k-34287558561 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34287558498 and 34287558507.

It is not an unprimeable number, because it can be changed into a prime (34287558521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 524646 + ... + 586368.

Almost surely, 2^34287558561 is an apocalyptic number.

34287558561 is the 185169-th square number.

34287558561 is the 92585-th centered octagonal number.

It is an amenable number.

34287558561 is a deficient number, since it is larger than the sum of its proper divisors (15239717328).

34287558561 is an frugal number, since it uses more digits than its factorization.

34287558561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123452 (or 61726 counting only the distinct ones).

The product of its digits is 8064000, while the sum is 54.

It can be divided in two parts, 3428755 and 8561, that added together give a square (3437316 = 1854²).

The spelling of 34287558561 in words is "thirty-four billion, two hundred eighty-seven million, five hundred fifty-eight thousand, five hundred sixty-one".