3628704332448 has 288 divisors, whose sum is σ = 11197457107200. Its totient is φ = 1108043274240.

The previous prime is 3628704332447. The next prime is 3628704332453. The reversal of 3628704332448 is 8442334078263.

3628704332448 is a `hidden beast` number, since 3 + 62 + 8 + 70 + 43 + 32 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 3628704332394 and 3628704332403.

It is not an unprimeable number, because it can be changed into a prime (3628704332441) 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 47 ways as a sum of consecutive naturals, for example, 849612553 + ... + 849616823.

It is an arithmetic number, because the mean of its divisors is an integer number (38880059400).

Almost surely, 2^{3628704332448} 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 3628704332448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5598728553600).

3628704332448 is an abundant number, since it is smaller than the sum of its proper divisors (7568752774752).

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

3628704332448 is a wasteful number, since it uses less digits than its factorization.

3628704332448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5972 (or 5961 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 54.

The spelling of 3628704332448 in words is "three trillion, six hundred twenty-eight billion, seven hundred four million, three hundred thirty-two thousand, four hundred forty-eight".