3600360000000 has 960 divisors, whose sum is σ = 13262601594528. Its totient is φ = 940032000000.

The previous prime is 3600359999947. The next prime is 3600360000011. The reversal of 3600360000000 is 630063.

3600360000000 is a `hidden beast` number, since 3 + 60 + 0 + 3 + 600 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 3597910937856 + 2449062144 = 1896816^2 + 49488^2 .

It is a tau number, because it is divible by the number of its divisors (960).

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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26279999932 + ... + 26280000068.

Almost surely, 2^{3600360000000} is an apocalyptic number.

3600360000000 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 3600360000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6631300797264).

3600360000000 is an abundant number, since it is smaller than the sum of its proper divisors (9662241594528).

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

3600360000000 is an frugal number, since it uses more digits than its factorization.

3600360000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 220 counting only the distinct ones).

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

Adding to 3600360000000 its reverse (630063), we get a palindrome (3600360630063).

The spelling of 3600360000000 in words is "three trillion, six hundred billion, three hundred sixty million", and thus it is an aban number.