34380205561 has 27 divisors (see below), whose sum is σ = 39594177741. Its totient is φ = 29833175424.

The previous prime is 34380205553. The next prime is 34380205579. The reversal of 34380205561 is 16550208343.

The square root of 34380205561 is 185419.

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

It can be written as a sum of positive squares in 4 ways, for example, as 310429161 + 34069776400 = 17619^2 + 184580^2 .

It is not a de Polignac number, because 34380205561 - 2³ = 34380205553 is a prime.

It is a super-3 number, since 3×34380205561³ (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34380205561.

It is not an unprimeable number, because it can be changed into a prime (34380205501) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 40977180 + ... + 40978018.

Almost surely, 2^34380205561 is an apocalyptic number.

34380205561 is the 185419-th square number.

34380205561 is the 92710-th centered octagonal number.

It is an amenable number.

34380205561 is a deficient number, since it is larger than the sum of its proper divisors (5213972180).

34380205561 is an frugal number, since it uses more digits than its factorization.

34380205561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 34380205561 in words is "thirty-four billion, three hundred eighty million, two hundred five thousand, five hundred sixty-one".