3640657174801 has 2 divisors, whose sum is σ = 3640657174802. Its totient is φ = 3640657174800.

The previous prime is 3640657174787. The next prime is 3640657174811. The reversal of 3640657174801 is 1084717560463.

It is a happy number.

3640657174801 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3247276080400 + 393381094401 = 1802020^2 + 627201^2 .

It is an emirp because it is prime and its reverse (1084717560463) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3640657174801 - 2⁵ = 3640657174769 is a prime.

It is not a weakly prime, because it can be changed into another prime (3640657174811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1820328587400 + 1820328587401.

It is an arithmetic number, because the mean of its divisors is an integer number (1820328587401).

Almost surely, 2^{3640657174801} is an apocalyptic number.

It is an amenable number.

3640657174801 is a deficient number, since it is larger than the sum of its proper divisors (1).

3640657174801 is an equidigital number, since it uses as much as digits as its factorization.

3640657174801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3386880, while the sum is 52.

The spelling of 3640657174801 in words is "three trillion, six hundred forty billion, six hundred fifty-seven million, one hundred seventy-four thousand, eight hundred one".