3364608798369 has 81 divisors (see below), whose sum is σ = 6122703398643. Its totient is φ = 1774474569504.

The previous prime is 3364608798349. The next prime is 3364608798379. The reversal of 3364608798369 is 9638978064633.

It is a happy number.

The square root of 3364608798369 is 1834287.

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

3364608798369 is a `hidden beast` number, since 3 + 3 + 6 + 4 + 608 + 7 + 9 + 8 + 3 + 6 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 497723195025 + 2866885603344 = 705495^2 + 1693188^2 .

It is not a de Polignac number, because 3364608798369 - 2⁷ = 3364608798241 is a prime.

It is a super-2 number, since 2×3364608798369² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3364608798297 and 3364608798306.

It is not an unprimeable number, because it can be changed into a prime (3364608798349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 500756992 + ... + 500763710.

Almost surely, 2^{3364608798369} is an apocalyptic number.

3364608798369 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

3364608798369 is the 1834287-th square number.

3364608798369 is the 917144-th centered octagonal number.

It is an amenable number.

3364608798369 is a deficient number, since it is larger than the sum of its proper divisors (2758094600274).

3364608798369 is an frugal number, since it uses more digits than its factorization.

3364608798369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13484 (or 6742 counting only the distinct ones).

The product of its (nonzero) digits is 846526464, while the sum is 72.

The spelling of 3364608798369 in words is "three trillion, three hundred sixty-four billion, six hundred eight million, seven hundred ninety-eight thousand, three hundred sixty-nine".