36379840225 has 27 divisors (see below), whose sum is σ = 46408182681. Its totient is φ = 28289815200.

The previous prime is 36379840219. The next prime is 36379840229. The reversal of 36379840225 is 52204897363.

The square root of 36379840225 is 190735.

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 3453560289 + 32926279936 = 58767^2 + 181456^2 .

It is not a de Polignac number, because 36379840225 - 2¹³ = 36379832033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36379840229) 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, 35285460 + ... + 35286490.

Almost surely, 2^36379840225 is an apocalyptic number.

36379840225 is the 190735-th square number.

36379840225 is the 95368-th centered octagonal number.

It is an amenable number.

36379840225 is a deficient number, since it is larger than the sum of its proper divisors (10028342456).

36379840225 is an frugal number, since it uses more digits than its factorization.

36379840225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2146 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 49.

Multiplying 36379840225 by its sum of digits (49), we get a square (1782612171025 = 1335145²).

The spelling of 36379840225 in words is "thirty-six billion, three hundred seventy-nine million, eight hundred forty thousand, two hundred twenty-five".