3827041681 has 8 divisors (see below), whose sum is σ = 3845315144. Its totient is φ = 3808788480.

The previous prime is 3827041633. The next prime is 3827041709. The reversal of 3827041681 is 1861407283.

3827041681 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is the 25256-th star number.

It can be written as a sum of positive squares in 4 ways, for example, as 610337025 + 3216704656 = 24705^2 + 56716^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 4-Lehmer number, since φ(3827041681) divides (3827041681-1)⁴.

It is a cyclic number.

It is not a de Polignac number, because 3827041681 - 2³¹ = 1679558033 is a prime.

It is a super-2 number, since 2×3827041681² = 29292496056222611522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3827041181) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 482161 + ... + 490033.

It is an arithmetic number, because the mean of its divisors is an integer number (480664393).

Almost surely, 2^3827041681 is an apocalyptic number.

It is an amenable number.

3827041681 is a deficient number, since it is larger than the sum of its proper divisors (18273463).

3827041681 is a wasteful number, since it uses less digits than its factorization.

3827041681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10131.

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 3827041681 is about 61863.0881948194. The cubic root of 3827041681 is about 1564.1836094216.

The spelling of 3827041681 in words is "three billion, eight hundred twenty-seven million, forty-one thousand, six hundred eighty-one".