36867840100 has 243 divisors, whose sum is σ = 101254353291. Its totient is φ = 11612764800.

The previous prime is 36867840089. The next prime is 36867840101. The reversal of 36867840100 is 104876863.

The square root of 36867840100 is 192010.

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 9502740324 + 27365099776 = 97482^2 + 165424^2 .

It is not an unprimeable number, because it can be changed into a prime (36867840101) 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 80 ways as a sum of consecutive naturals, for example, 174728995 + ... + 174729205.

Almost surely, 2^36867840100 is an apocalyptic number.

36867840100 is the 192010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36867840100

36867840100 is an abundant number, since it is smaller than the sum of its proper divisors (64386513191).

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

36867840100 is a wasteful number, since it uses less digits than its factorization.

36867840100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 36867840100 in words is "thirty-six billion, eight hundred sixty-seven million, eight hundred forty thousand, one hundred".