36000900 has 216 divisors, whose sum is σ = 129382344. Its totient is φ = 8294400.

The previous prime is 36000857. The next prime is 36000941. The reversal of 36000900 is 900063.

It can be written as a sum of positive squares in 12 ways, for example, as 22867524 + 13133376 = 4782^2 + 3624^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 198810 + ... + 198990.

Almost surely, 2^36000900 is an apocalyptic number.

36000900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36000900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64691172).

36000900 is an abundant number, since it is smaller than the sum of its proper divisors (93381444).

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

36000900 is a wasteful number, since it uses less digits than its factorization.

36000900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 36000900 is about 6000.0749995313. The cubic root of 36000900 is about 330.1954764726.

Adding to 36000900 its reverse (900063), we get a palindrome (36900963).

The spelling of 36000900 in words is "thirty-six million, nine hundred", and thus it is an aban number.