36388800 has 378 divisors, whose sum is σ = 155999688. Its totient is φ = 7879680.

The previous prime is 36388769. The next prime is 36388801. The reversal of 36388800 is 888363.

36388800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36388801) 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 53 ways as a sum of consecutive naturals, for example, 1915191 + ... + 1915209.

Almost surely, 2^36388800 is an apocalyptic number.

36388800 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 36388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77999844).

36388800 is an abundant number, since it is smaller than the sum of its proper divisors (119610888).

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

36388800 is a wasteful number, since it uses less digits than its factorization.

36388800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 36388800 is about 6032.3129892273. The cubic root of 36388800 is about 331.3771648937.

The spelling of 36388800 in words is "thirty-six million, three hundred eighty-eight thousand, eight hundred".