3627029404448 has 18 divisors (see below), whose sum is σ = 7140735350091. Its totient is φ = 1813509315552.

The previous prime is 3627029404391. The next prime is 3627029404457. The reversal of 3627029404448 is 8444049207263.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3627029404448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1813514702224 + 1813514702224 = 1346668^2 + 1346668^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1346668.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3627029404448.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 10605011 + ... + 10941677.

Almost surely, 2^{3627029404448} is an apocalyptic number.

It is an amenable number.

3627029404448 is a deficient number, since it is larger than the sum of its proper divisors (3513705945643).

3627029404448 is an frugal number, since it uses more digits than its factorization.

3627029404448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673344 (or 336669 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 53.

The spelling of 3627029404448 in words is "three trillion, six hundred twenty-seven billion, twenty-nine million, four hundred four thousand, four hundred forty-eight".