3661448065728 has 224 divisors, whose sum is σ = 10469104588800. Its totient is φ = 1125127274496.

The previous prime is 3661448065721. The next prime is 3661448065753. The reversal of 3661448065728 is 8275608441663.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3661448065721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53309233 + ... + 53377871.

Almost surely, 2^{3661448065728} 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 3661448065728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5234552294400).

3661448065728 is an abundant number, since it is smaller than the sum of its proper divisors (6807656523072).

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

3661448065728 is a wasteful number, since it uses less digits than its factorization.

3661448065728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69007 (or 68997 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 60.

The spelling of 3661448065728 in words is "three trillion, six hundred sixty-one billion, four hundred forty-eight million, sixty-five thousand, seven hundred twenty-eight".