3910344096681 has 81 divisors (see below), whose sum is σ = 6418487233431. Its totient is φ = 2292270472800.

The previous prime is 3910344096641. The next prime is 3910344096689. The reversal of 3910344096681 is 1866904430193.

The square root of 3910344096681 is 1977459.

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

3910344096681 is a `hidden beast` number, since 3 + 9 + 103 + 440 + 96 + 6 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2662395939225 + 1247948157456 = 1631685^2 + 1117116^2 .

It is not a de Polignac number, because 3910344096681 - 2⁷ = 3910344096553 is a prime.

It is a super-2 number, since 2×3910344096681² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3910344096689) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2022939591 + ... + 2022941523.

Almost surely, 2^{3910344096681} is an apocalyptic number.

3910344096681 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3910344096681 is the 1977459-th square number.

3910344096681 is the 988730-th centered octagonal number.

It is an amenable number.

3910344096681 is a deficient number, since it is larger than the sum of its proper divisors (2508143136750).

3910344096681 is an equidigital number, since it uses as much as digits as its factorization.

3910344096681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3956 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

It can be divided in two parts, 39103440 and 96681, that added together give a square (39200121 = 6261²).

The spelling of 3910344096681 in words is "three trillion, nine hundred ten billion, three hundred forty-four million, ninety-six thousand, six hundred eighty-one".