36789100 has 72 divisors (see below), whose sum is σ = 83845328. Its totient is φ = 13996800.

The previous prime is 36789091. The next prime is 36789107. The reversal of 36789100 is 198763.

36789100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (36789107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225619 + ... + 225781.

Almost surely, 2^36789100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36789100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41922664).

36789100 is an abundant number, since it is smaller than the sum of its proper divisors (47056228).

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

36789100 is a wasteful number, since it uses less digits than its factorization.

36789100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 36789100 is about 6065.4018828104. The cubic root of 36789100 is about 332.5878562569.

The spelling of 36789100 in words is "thirty-six million, seven hundred eighty-nine thousand, one hundred".