3677522048657 has 2 divisors, whose sum is σ = 3677522048658. Its totient is φ = 3677522048656.

The previous prime is 3677522048621. The next prime is 3677522048713. The reversal of 3677522048657 is 7568402257763.

3677522048657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2898043188496 + 779478860161 = 1702364^2 + 882881^2 .

It is a cyclic number.

It is not a de Polignac number, because 3677522048657 - 2¹⁴ = 3677522032273 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3677522048657.

It is not a weakly prime, because it can be changed into another prime (3677522048617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1838761024328 + 1838761024329.

It is an arithmetic number, because the mean of its divisors is an integer number (1838761024329).

Almost surely, 2^{3677522048657} is an apocalyptic number.

It is an amenable number.

3677522048657 is a deficient number, since it is larger than the sum of its proper divisors (1).

3677522048657 is an equidigital number, since it uses as much as digits as its factorization.

3677522048657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 118540800, while the sum is 62.

The spelling of 3677522048657 in words is "three trillion, six hundred seventy-seven billion, five hundred twenty-two million, forty-eight thousand, six hundred fifty-seven".