3640000000000 has 572 divisors, whose sum is σ = 11198632583152. Its totient is φ = 1152000000000.

The previous prime is 3639999999989. The next prime is 3640000000001. The reversal of 3640000000000 is 463.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 3639999999899 and 3639999999908.

It is not an unprimeable number, because it can be changed into a prime (3640000000001) by changing a digit.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 279999999994 + ... + 280000000006.

Almost surely, 2^{3640000000000} 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 3640000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5599316291576).

3640000000000 is an abundant number, since it is smaller than the sum of its proper divisors (7558632583152).

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

3640000000000 is an frugal number, since it uses more digits than its factorization.

3640000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 3640000000000 its reverse (463), we get a palindrome (3640000000463).

It can be divided in two parts, 36 and 40000000000, that multiplied together give a square (1440000000000 = 1200000²).

The spelling of 3640000000000 in words is "three trillion, six hundred forty billion", and thus it is an aban number.