36318800 has 180 divisors, whose sum is σ = 108458460. Its totient is φ = 11612160.

The previous prime is 36318787. The next prime is 36318809. The reversal of 36318800 is 881363.

It can be written as a sum of positive squares in 6 ways, for example, as 414736 + 35904064 = 644^2 + 5992^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36318809) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 333146 + ... + 333254.

It is an arithmetic number, because the mean of its divisors is an integer number (602547).

Almost surely, 2^36318800 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 36318800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54229230).

36318800 is an abundant number, since it is smaller than the sum of its proper divisors (72139660).

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

36318800 is a wasteful number, since it uses less digits than its factorization.

36318800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 36318800 is about 6026.5081100086. The cubic root of 36318800 is about 331.1645418566.

The spelling of 36318800 in words is "thirty-six million, three hundred eighteen thousand, eight hundred".