3806828333761 has 2 divisors, whose sum is σ = 3806828333762. Its totient is φ = 3806828333760.

The previous prime is 3806828333719. The next prime is 3806828333767. The reversal of 3806828333761 is 1673338286083.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3490287069361 + 316541264400 = 1868231^2 + 562620^2 .

It is a cyclic number.

It is not a de Polignac number, because 3806828333761 - 2⁹ = 3806828333249 is a prime.

It is a super-2 number, since 2×3806828333761² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3806828333696 and 3806828333705.

It is not a weakly prime, because it can be changed into another prime (3806828333767) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1903414166880 + 1903414166881.

It is an arithmetic number, because the mean of its divisors is an integer number (1903414166881).

Almost surely, 2^{3806828333761} is an apocalyptic number.

It is an amenable number.

3806828333761 is a deficient number, since it is larger than the sum of its proper divisors (1).

3806828333761 is an equidigital number, since it uses as much as digits as its factorization.

3806828333761 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20901888, while the sum is 58.

The spelling of 3806828333761 in words is "three trillion, eight hundred six billion, eight hundred twenty-eight million, three hundred thirty-three thousand, seven hundred sixty-one".