3600360000 has 420 divisors, whose sum is σ = 13167669372. Its totient is φ = 940032000.

The previous prime is 3600359981. The next prime is 3600360047. The reversal of 3600360000 is 630063.

3600360000 is a `hidden beast` number, since 3 + 60 + 0 + 3 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 2520843264 + 1079516736 = 50208^2 + 32856^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 26279932 + ... + 26280068.

Almost surely, 2^3600360000 is an apocalyptic number.

3600360000 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 3600360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6583834686).

3600360000 is an abundant number, since it is smaller than the sum of its proper divisors (9567309372).

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

3600360000 is a wasteful number, since it uses less digits than its factorization.

3600360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 220 counting only the distinct ones).

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

The square root of 3600360000 is about 60002.9999250037. Note that the first 4 decimals coincide. The cubic root of 3600360000 is about 1532.6699503798.

Adding to 3600360000 its reverse (630063), we get a palindrome (3600990063).

It can be divided in two parts, 3600 and 360000, that multiplied together give a square (1296000000 = 36000²).

The spelling of 3600360000 in words is "three billion, six hundred million, three hundred sixty thousand".