36354286224 has 45 divisors (see below), whose sum is σ = 101747913033. Its totient is φ = 12117332736.

The previous prime is 36354286159. The next prime is 36354286273. The reversal of 36354286224 is 42268245363.

The square root of 36354286224 is 190668.

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

36354286224 is a `hidden beast` number, since 3 + 6 + 3 + 542 + 86 + 2 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7968775824 + 28385510400 = 89268^2 + 168480^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 36354286224.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2280072 + ... + 2295960.

Almost surely, 2^36354286224 is an apocalyptic number.

36354286224 is the 190668-th square number.

It is an amenable number.

36354286224 is an abundant number, since it is smaller than the sum of its proper divisors (65393626809).

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

36354286224 is an frugal number, since it uses more digits than its factorization.

36354286224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31792 (or 15894 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 45.

The spelling of 36354286224 in words is "thirty-six billion, three hundred fifty-four million, two hundred eighty-six thousand, two hundred twenty-four".