36418800 has 240 divisors, whose sum is σ = 132848640. Its totient is φ = 8448000.

The previous prime is 36418793. The next prime is 36418813. The reversal of 36418800 is 881463.

It is a happy number.

36418800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 409156 + ... + 409244.

It is an arithmetic number, because the mean of its divisors is an integer number (553536).

Almost surely, 2^36418800 is an apocalyptic number.

36418800 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 36418800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66424320).

36418800 is an abundant number, since it is smaller than the sum of its proper divisors (96429840).

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

36418800 is a wasteful number, since it uses less digits than its factorization.

36418800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 36418800 is about 6034.7990853052. The cubic root of 36418800 is about 331.4682055823.

The spelling of 36418800 in words is "thirty-six million, four hundred eighteen thousand, eight hundred".