3643903027801 has 9 divisors (see below), whose sum is σ = 3714056258941. Its totient is φ = 3575050877632.

The previous prime is 3643903027741. The next prime is 3643903027813. The reversal of 3643903027801 is 1087203093463.

The square root of 3643903027801 is 1908901.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 218368355401 + 3425534672400 = 467299^2 + 1850820^2 .

It is not a de Polignac number, because 3643903027801 - 2¹³ = 3643903019609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3643903027841) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 101153745 + ... + 101189761.

Almost surely, 2^{3643903027801} is an apocalyptic number.

3643903027801 is the 1908901-st square number.

3643903027801 is the 954451-st centered octagonal number.

It is an amenable number.

3643903027801 is a deficient number, since it is larger than the sum of its proper divisors (70153231140).

3643903027801 is an frugal number, since it uses more digits than its factorization.

3643903027801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72140 (or 36070 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 46.

The spelling of 3643903027801 in words is "three trillion, six hundred forty-three billion, nine hundred three million, twenty-seven thousand, eight hundred one".