3640360000000 has 160 divisors (see below), whose sum is σ = 9092089028880. Its totient is φ = 1456128000000.

The previous prime is 3640359999989. The next prime is 3640360000031. The reversal of 3640360000000 is 630463.

It can be written as a sum of positive squares in 8 ways, for example, as 3559531235584 + 80828764416 = 1886672^2 + 284304^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39954496 + ... + 40045504.

Almost surely, 2^{3640360000000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3640360000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4546044514440).

3640360000000 is an abundant number, since it is smaller than the sum of its proper divisors (5451729028880).

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

3640360000000 is an frugal number, since it uses more digits than its factorization.

3640360000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91062 (or 91016 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 3640360000000 its reverse (630463), we get a palindrome (3640360630463).

The spelling of 3640360000000 in words is "three trillion, six hundred forty billion, three hundred sixty million", and thus it is an aban number.