36818800 has 60 divisors (see below), whose sum is σ = 89603640. Its totient is φ = 14536960.

The previous prime is 36818767. The next prime is 36818801. The reversal of 36818800 is 881863.

36818800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36818801) 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 11 ways as a sum of consecutive naturals, for example, 32646 + ... + 33754.

It is an arithmetic number, because the mean of its divisors is an integer number (1493394).

Almost surely, 2^36818800 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 36818800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44801820).

36818800 is an abundant number, since it is smaller than the sum of its proper divisors (52784840).

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

36818800 is a wasteful number, since it uses less digits than its factorization.

36818800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 36818800 is about 6067.8497015005. The cubic root of 36818800 is about 332.6773320561.

The spelling of 36818800 in words is "thirty-six million, eight hundred eighteen thousand, eight hundred".