36804800 has 42 divisors (see below), whose sum is σ = 90566748. Its totient is φ = 14721280.

The previous prime is 36804791. The next prime is 36804809. The reversal of 36804800 is 840863.

It is an interprime number because it is at equal distance from previous prime (36804791) and next prime (36804809).

It is not an unprimeable number, because it can be changed into a prime (36804809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9902 + ... + 13101.

Almost surely, 2^36804800 is an apocalyptic number.

It is an amenable number.

36804800 is an abundant number, since it is smaller than the sum of its proper divisors (53761948).

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

36804800 is a wasteful number, since it uses less digits than its factorization.

36804800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23025 (or 23010 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 36804800 is about 6066.6959706252. The cubic root of 36804800 is about 332.6351609090.

The spelling of 36804800 in words is "thirty-six million, eight hundred four thousand, eight hundred".