36813800 has 96 divisors (see below), whose sum is σ = 91601280. Its totient is φ = 13728000.

The previous prime is 36813797. The next prime is 36813809. The reversal of 36813800 is 831863.

It is not an unprimeable number, because it can be changed into a prime (36813809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243725 + ... + 243875.

It is an arithmetic number, because the mean of its divisors is an integer number (954180).

Almost surely, 2^36813800 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 36813800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45800640).

36813800 is an abundant number, since it is smaller than the sum of its proper divisors (54787480).

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

36813800 is a wasteful number, since it uses less digits than its factorization.

36813800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 234 counting only the distinct ones).

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

The square root of 36813800 is about 6067.4376799437. The cubic root of 36813800 is about 332.6622721595.

The spelling of 36813800 in words is "thirty-six million, eight hundred thirteen thousand, eight hundred".