3682449698841 has 99 divisors (see below), whose sum is σ = 5667867137149. Its totient is φ = 2392480932192.

The previous prime is 3682449698831. The next prime is 3682449698849. The reversal of 3682449698841 is 1488969442863.

The square root of 3682449698841 is 1918971.

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

3682449698841 is a `hidden beast` number, since 3 + 6 + 8 + 2 + 4 + 496 + 98 + 8 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 155926265625 + 3526523433216 = 394875^2 + 1877904^2 .

It is not a de Polignac number, because 3682449698841 - 2¹⁹ = 3682449174553 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3682449698841.

It is not an unprimeable number, because it can be changed into a prime (3682449698849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 24714427435 + ... + 24714427583.

Almost surely, 2^{3682449698841} is an apocalyptic number.

3682449698841 is the 1918971-st square number.

3682449698841 is the 959486-th centered octagonal number.

It is an amenable number.

3682449698841 is a deficient number, since it is larger than the sum of its proper divisors (1985417438308).

3682449698841 is an frugal number, since it uses more digits than its factorization.

3682449698841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 205 counting only the distinct ones).

The product of its digits is 573308928, while the sum is 72.

The spelling of 3682449698841 in words is "three trillion, six hundred eighty-two billion, four hundred forty-nine million, six hundred ninety-eight thousand, eight hundred forty-one".