3865081292361 has 27 divisors (see below), whose sum is σ = 5668045173063. Its totient is φ = 2538002831760.

The previous prime is 3865081292341. The next prime is 3865081292389. The reversal of 3865081292361 is 1632921805683.

The square root of 3865081292361 is 1965981.

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

3865081292361 is a `hidden beast` number, since 3 + 8 + 6 + 508 + 12 + 92 + 36 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1664665067961 + 2200416224400 = 1290219^2 + 1483380^2 .

It is not a de Polignac number, because 3865081292361 - 2¹⁵ = 3865081259593 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3865081292298 and 3865081292307.

It is not an unprimeable number, because it can be changed into a prime (3865081292341) 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 in 26 ways as a sum of consecutive naturals, for example, 395157291 + ... + 395167071.

Almost surely, 2^{3865081292361} is an apocalyptic number.

3865081292361 is the 1965981-st square number.

3865081292361 is the 982991-st centered octagonal number.

It is an amenable number.

3865081292361 is a deficient number, since it is larger than the sum of its proper divisors (1802963880702).

3865081292361 is an frugal number, since it uses more digits than its factorization.

3865081292361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19702 (or 9851 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 3865081292361 in words is "three trillion, eight hundred sixty-five billion, eighty-one million, two hundred ninety-two thousand, three hundred sixty-one".