3329285584689 has 21 divisors (see below), whose sum is σ = 4991718781353. Its totient is φ = 2219490879732.

The previous prime is 3329285584679. The next prime is 3329285584699. The reversal of 3329285584689 is 9864855829233.

The square root of 3329285584689 is 1824633.

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

3329285584689 is a `hidden beast` number, since 3 + 3 + 2 + 9 + 2 + 8 + 558 + 4 + 68 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (3329285584679) and next prime (3329285584699).

It is not a de Polignac number, because 3329285584689 - 2⁷ = 3329285584561 is a prime.

It is a super-2 number, since 2×3329285584689² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3329285584679) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 49231302 + ... + 49298880.

Almost surely, 2^{3329285584689} is an apocalyptic number.

3329285584689 is the 1824633-rd square number.

3329285584689 is the 912317-th centered octagonal number.

It is an amenable number.

3329285584689 is a deficient number, since it is larger than the sum of its proper divisors (1662433196664).

3329285584689 is an frugal number, since it uses more digits than its factorization.

3329285584689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135176 (or 67582 counting only the distinct ones).

The product of its digits is 895795200, while the sum is 72.

The spelling of 3329285584689 in words is "three trillion, three hundred twenty-nine billion, two hundred eighty-five million, five hundred eighty-four thousand, six hundred eighty-nine".