36800000 has 120 divisors (see below), whose sum is σ = 95900112. Its totient is φ = 14080000.

The previous prime is 36799993. The next prime is 36800009. The reversal of 36800000 is 863.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36800009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1599989 + ... + 1600011.

Almost surely, 2^36800000 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 36800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47950056).

36800000 is an abundant number, since it is smaller than the sum of its proper divisors (59100112).

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

36800000 is an frugal number, since it uses more digits than its factorization.

36800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 36800000 is about 6066.3003552412. The cubic root of 36800000 is about 332.6206997682.

Adding to 36800000 its reverse (863), we get a palindrome (36800863).

The spelling of 36800000 in words is "thirty-six million, eight hundred thousand".