36092780361 has 135 divisors (see below), whose sum is σ = 63172154199. Its totient is φ = 20517948000.

The previous prime is 36092780249. The next prime is 36092780369. The reversal of 36092780361 is 16308729063.

The square root of 36092780361 is 189981.

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

36092780361 is a `hidden beast` number, since 3 + 609 + 2 + 7 + 8 + 0 + 36 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34677515961 + 1415264400 = 186219^2 + 37620^2 .

It is not a de Polignac number, because 36092780361 - 2¹³ = 36092772169 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (36092780369) by changing a digit.

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 134 ways as a sum of consecutive naturals, for example, 357354211 + ... + 357354311.

Almost surely, 2^36092780361 is an apocalyptic number.

36092780361 is the 189981-st square number.

36092780361 is the 94991-st centered octagonal number.

It is an amenable number.

36092780361 is a deficient number, since it is larger than the sum of its proper divisors (27079373838).

36092780361 is a wasteful number, since it uses less digits than its factorization.

36092780361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 36092780361 in words is "thirty-six billion, ninety-two million, seven hundred eighty thousand, three hundred sixty-one".