36730800 has 240 divisors, whose sum is σ = 138384000. Its totient is φ = 9227520.

The previous prime is 36730789. The next prime is 36730801. The reversal of 36730800 is 803763.

It is a happy number.

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 (27).

It is not an unprimeable number, because it can be changed into a prime (36730801) 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, 205111 + ... + 205289.

It is an arithmetic number, because the mean of its divisors is an integer number (576600).

Almost surely, 2^36730800 is an apocalyptic number.

36730800 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 36730800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69192000).

36730800 is an abundant number, since it is smaller than the sum of its proper divisors (101653200).

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

36730800 is a wasteful number, since it uses less digits than its factorization.

36730800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 36730800 is about 6060.5940302911. The cubic root of 36730800 is about 332.4120784361.

The spelling of 36730800 in words is "thirty-six million, seven hundred thirty thousand, eight hundred".