3820641257 has 2 divisors, whose sum is σ = 3820641258. Its totient is φ = 3820641256.

The previous prime is 3820641199. The next prime is 3820641259. The reversal of 3820641257 is 7521460283.

It is a happy number.

3820641257 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2611618816 + 1209022441 = 51104^2 + 34771^2 .

It is a cyclic number.

It is not a de Polignac number, because 3820641257 - 2¹⁶ = 3820575721 is a prime.

It is a super-2 number, since 2×3820641257² = 29194599229381080098, which contains 22 as substring.

Together with 3820641259, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3820641257.

It is not a weakly prime, because it can be changed into another prime (3820641259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1910320628 + 1910320629.

It is an arithmetic number, because the mean of its divisors is an integer number (1910320629).

Almost surely, 2^3820641257 is an apocalyptic number.

It is an amenable number.

3820641257 is a deficient number, since it is larger than the sum of its proper divisors (1).

3820641257 is an equidigital number, since it uses as much as digits as its factorization.

3820641257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 3820641257 is about 61811.3359910624. The cubic root of 3820641257 is about 1563.3111318046.

The spelling of 3820641257 in words is "three billion, eight hundred twenty million, six hundred forty-one thousand, two hundred fifty-seven".