36288000 has 400 divisors, whose sum is σ = 154481184. Its totient is φ = 8294400.

The previous prime is 36287989. The next prime is 36288017. The reversal of 36288000 is 88263.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5183997 + ... + 5184003.

Almost surely, 2^36288000 is an apocalyptic number.

36288000 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 36288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77240592).

36288000 is an abundant number, since it is smaller than the sum of its proper divisors (118193184).

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

36288000 is an frugal number, since it uses more digits than its factorization.

36288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 36288000 is about 6023.9521910453. The cubic root of 36288000 is about 331.0709011657.

It can be divided in two parts, 3628 and 8000, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 36288000 in words is "thirty-six million, two hundred eighty-eight thousand".