36804000 has 96 divisors (see below), whose sum is σ = 120609216. Its totient is φ = 9811200.

The previous prime is 36803999. The next prime is 36804013. The reversal of 36804000 is 40863.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10467 + ... + 13533.

It is an arithmetic number, because the mean of its divisors is an integer number (1256346).

Almost surely, 2^36804000 is an apocalyptic number.

36804000 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 36804000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60304608).

36804000 is an abundant number, since it is smaller than the sum of its proper divisors (83805216).

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

36804000 is a wasteful number, since it uses less digits than its factorization.

36804000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3095 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 36804000 is about 6066.6300365195. The cubic root of 36804000 is about 332.6327508062.

Adding to 36804000 its reverse (40863), we get a palindrome (36844863).

The spelling of 36804000 in words is "thirty-six million, eight hundred four thousand".