36800 has 42 divisors (see below), whose sum is σ = 94488. Its totient is φ = 14080.

The previous prime is 36793. The next prime is 36809. The reversal of 36800 is 863.

It is a happy number.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36809) by changing a digit.

36800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 5 ways as a sum of consecutive naturals, for example, 1589 + ... + 1611.

2³⁶⁸⁰⁰ 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 36800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47244).

36800 is an abundant number, since it is smaller than the sum of its proper divisors (57688).

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

36800 is a wasteful number, since it uses less digits than its factorization.

36800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 30 counting only the distinct ones).

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

The square root of 36800 is about 191.8332609325. The cubic root of 36800 is about 33.2620699768.

Subtracting from 36800 its reverse (863), we obtain a cube (35937 = 33³).

The spelling of 36800 in words is "thirty-six thousand, eight hundred".