36936000 has 336 divisors, whose sum is σ = 144231360. Its totient is φ = 9331200.

The previous prime is 36935993. The next prime is 36936001. The reversal of 36936000 is 63963.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36936001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1943991 + ... + 1944009.

It is an arithmetic number, because the mean of its divisors is an integer number (429260).

Almost surely, 2^36936000 is an apocalyptic number.

36936000 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 36936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72115680).

36936000 is an abundant number, since it is smaller than the sum of its proper divisors (107295360).

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

36936000 is an equidigital number, since it uses as much as digits as its factorization.

36936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 36936000 is about 6077.4994858083. The cubic root of 36936000 is about 333.0299461747.

Adding to 36936000 its reverse (63963), we get a palindrome (36999963).

The spelling of 36936000 in words is "thirty-six million, nine hundred thirty-six thousand".