36288000000 has 910 divisors, whose sum is σ = 154859111528. Its totient is φ = 8294400000.

The previous prime is 36287999999. The next prime is 36288000019. The reversal of 36288000000 is 88263.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 5183999997 + ... + 5184000003.

Almost surely, 2^36288000000 is an apocalyptic number.

36288000000 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 36288000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77429555764).

36288000000 is an abundant number, since it is smaller than the sum of its proper divisors (118571111528).

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

36288000000 is an frugal number, since it uses more digits than its factorization.

36288000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 17 counting only the distinct ones).

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

Adding to 36288000000 its reverse (88263), we get a palindrome (36288088263).

The spelling of 36288000000 in words is "thirty-six billion, two hundred eighty-eight million", and thus it is an aban number.