3664728869440 has 56 divisors (see below), whose sum is σ = 8727023660472. Its totient is φ = 1465826365440.

The previous prime is 3664728869407. The next prime is 3664728869441. The reversal of 3664728869440 is 449688274663.

It can be written as a sum of positive squares in 4 ways, for example, as 87365171776 + 3577363697664 = 295576^2 + 1891392^2 .

It is not an unprimeable number, because it can be changed into a prime (3664728869441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7303092 + ... + 7788748.

Almost surely, 2^{3664728869440} is an apocalyptic number.

It is an amenable number.

3664728869440 is an abundant number, since it is smaller than the sum of its proper divisors (5062294791032).

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

3664728869440 is a wasteful number, since it uses less digits than its factorization.

3664728869440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509255 (or 509245 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 67.

The spelling of 3664728869440 in words is "three trillion, six hundred sixty-four billion, seven hundred twenty-eight million, eight hundred sixty-nine thousand, four hundred forty".