3639785664288 has 96 divisors (see below), whose sum is σ = 9662265954432. Its totient is φ = 1199606169600.

The previous prime is 3639785664287. The next prime is 3639785664301. The reversal of 3639785664288 is 8824665879363.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (3639785664287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6051078 + ... + 6625338.

It is an arithmetic number, because the mean of its divisors is an integer number (100648603692).

Almost surely, 2^{3639785664288} 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 3639785664288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4831132977216).

3639785664288 is an abundant number, since it is smaller than the sum of its proper divisors (6022480290144).

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

3639785664288 is a wasteful number, since it uses less digits than its factorization.

3639785664288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575018 (or 575010 counting only the distinct ones).

The product of its digits is 2508226560, while the sum is 75.

The spelling of 3639785664288 in words is "three trillion, six hundred thirty-nine billion, seven hundred eighty-five million, six hundred sixty-four thousand, two hundred eighty-eight".