3684860320801 has 27 divisors (see below), whose sum is σ = 4090355518809. Its totient is φ = 3317067072000.

The previous prime is 3684860320789. The next prime is 3684860320807. The reversal of 3684860320801 is 1080230684863.

The square root of 3684860320801 is 1919599.

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

3684860320801 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 4 ways, for example, as 2395681744401 + 1289178576400 = 1547799^2 + 1135420^2 .

It is not a de Polignac number, because 3684860320801 - 2⁹ = 3684860320289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3684860320807) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2301598401 + ... + 2301600001.

Almost surely, 2^{3684860320801} is an apocalyptic number.

3684860320801 is the 1919599-th square number.

3684860320801 is the 959800-th centered octagonal number.

It is an amenable number.

3684860320801 is a deficient number, since it is larger than the sum of its proper divisors (405495198008).

3684860320801 is an frugal number, since it uses more digits than its factorization.

3684860320801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3442 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 49.

Multiplying 3684860320801 by its sum of digits (49), we get a square (180558155719249 = 13437193²).

The spelling of 3684860320801 in words is "three trillion, six hundred eighty-four billion, eight hundred sixty million, three hundred twenty thousand, eight hundred one".