3873618358801 has 9 divisors (see below), whose sum is σ = 3890775292411. Its totient is φ = 3856536776272.

The previous prime is 3873618358789. The next prime is 3873618358807. The reversal of 3873618358801 is 1088538163783.

The square root of 3873618358801 is 1968151.

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

It can be written as a sum of positive squares in only one way, i.e., 786653694225 + 3086964664576 = 886935^2 + 1756976^2 .

It is not a de Polignac number, because 3873618358801 - 2⁹ = 3873618358289 is a prime.

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 3873618358801.

It is not an unprimeable number, because it can be changed into a prime (3873618358807) 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, 458574960 + ... + 458583406.

Almost surely, 2^{3873618358801} is an apocalyptic number.

3873618358801 is the 1968151-st square number.

3873618358801 is the 984076-th centered octagonal number.

It is an amenable number.

3873618358801 is a deficient number, since it is larger than the sum of its proper divisors (17156933610).

3873618358801 is an frugal number, since it uses more digits than its factorization.

3873618358801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17360 (or 8680 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 61.

The spelling of 3873618358801 in words is "three trillion, eight hundred seventy-three billion, six hundred eighteen million, three hundred fifty-eight thousand, eight hundred one".