36179844100 has 81 divisors (see below), whose sum is σ = 82171524757. Its totient is φ = 13825984480.

The previous prime is 36179844067. The next prime is 36179844101. The reversal of 36179844100 is 144897163.

The square root of 36179844100 is 190210.

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., 13024743876 + 23155100224 = 114126^2 + 152168^2 .

It is a super-2 number, since 2×36179844100² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36179844101) 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, 43747887 + ... + 43748713.

Almost surely, 2^36179844100 is an apocalyptic number.

36179844100 is the 190210-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36179844100

36179844100 is an abundant number, since it is smaller than the sum of its proper divisors (45991680657).

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

36179844100 is an equidigital number, since it uses as much as digits as its factorization.

36179844100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 36179844100 in words is "thirty-six billion, one hundred seventy-nine million, eight hundred forty-four thousand, one hundred".