36912784129 has 9 divisors (see below), whose sum is σ = 39973352643. Its totient is φ = 34071033672.

The previous prime is 36912784127. The next prime is 36912784151. The reversal of 36912784129 is 92148721963.

The square root of 36912784129 is 192127.

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

It can be written as a sum of positive squares in only one way, i.e., 5460471025 + 31452313104 = 73895^2 + 177348^2 .

It is not a de Polignac number, because 36912784129 - 2¹ = 36912784127 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36912784127) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2490262 + ... + 2505040.

It is an arithmetic number, because the mean of its divisors is an integer number (4441483627).

Almost surely, 2^36912784129 is an apocalyptic number.

36912784129 is the 192127-th square number.

36912784129 is the 96064-th centered octagonal number.

It is an amenable number.

36912784129 is a deficient number, since it is larger than the sum of its proper divisors (3060568514).

36912784129 is an frugal number, since it uses more digits than its factorization.

36912784129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29584 (or 14792 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 52.

The spelling of 36912784129 in words is "thirty-six billion, nine hundred twelve million, seven hundred eighty-four thousand, one hundred twenty-nine".