360036000000 has 756 divisors, whose sum is σ = 1324950149796. Its totient is φ = 94003200000.

The previous prime is 360035999993. The next prime is 360036000001. The reversal of 360036000000 is 630063.

360036000000 is a `hidden beast` number, since 3 + 60 + 0 + 3 + 600 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 14 ways, for example, as 318204297216 + 41831702784 = 564096^2 + 204528^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360036000001) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2627999932 + ... + 2628000068.

Almost surely, 2^360036000000 is an apocalyptic number.

360036000000 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 360036000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662475074898).

360036000000 is an abundant number, since it is smaller than the sum of its proper divisors (964914149796).

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

360036000000 is an frugal number, since it uses more digits than its factorization.

360036000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 360036000000 its reverse (630063), we get a palindrome (360036630063).

It can be divided in two parts, 3600 and 36000000, that multiplied together give a 4-th power (129600000000 = 600⁴).

The spelling of 360036000000 in words is "three hundred sixty billion, thirty-six million", and thus it is an aban number.