3288444947649 has 135 divisors (see below), whose sum is σ = 5358744175785. Its totient is φ = 1942811723520.

The previous prime is 3288444947639. The next prime is 3288444947677. The reversal of 3288444947649 is 9467494448823.

The square root of 3288444947649 is 1813407.

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

3288444947649 is a `hidden beast` number, since 3 + 2 + 8 + 84 + 449 + 47 + 64 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1529691555249 + 1758753392400 = 1236807^2 + 1326180^2 .

It is not a de Polignac number, because 3288444947649 - 2³¹ = 3286297464001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3288444947639) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 88876890459 + ... + 88876890495.

Almost surely, 2^{3288444947649} is an apocalyptic number.

3288444947649 is the 1813407-th square number.

3288444947649 is the 906704-th centered octagonal number.

It is an amenable number.

3288444947649 is a deficient number, since it is larger than the sum of its proper divisors (2070299228136).

3288444947649 is an frugal number, since it uses more digits than its factorization.

3288444947649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 88 counting only the distinct ones).

The product of its digits is 1337720832, while the sum is 72.

The spelling of 3288444947649 in words is "three trillion, two hundred eighty-eight billion, four hundred forty-four million, nine hundred forty-seven thousand, six hundred forty-nine".