3806248961 has 2 divisors, whose sum is σ = 3806248962. Its totient is φ = 3806248960.

The previous prime is 3806248939. The next prime is 3806248973. The reversal of 3806248961 is 1698426083.

3806248961 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., 3542511361 + 263737600 = 59519^2 + 16240^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3806248961 is a prime.

It is a super-2 number, since 2×3806248961² = 28975062306227159042, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3806248561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1903124480 + 1903124481.

It is an arithmetic number, because the mean of its divisors is an integer number (1903124481).

Almost surely, 2^3806248961 is an apocalyptic number.

It is an amenable number.

3806248961 is a deficient number, since it is larger than the sum of its proper divisors (1).

3806248961 is an equidigital number, since it uses as much as digits as its factorization.

3806248961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 497664, while the sum is 47.

The square root of 3806248961 is about 61694.8049757838. The cubic root of 3806248961 is about 1561.3456722361.

The spelling of 3806248961 in words is "three billion, eight hundred six million, two hundred forty-eight thousand, nine hundred sixty-one".