3584536641 has 27 divisors (see below), whose sum is σ = 6025110273. Its totient is φ = 2047588200.

The previous prime is 3584536633. The next prime is 3584536691. The reversal of 3584536641 is 1466354853.

The square root of 3584536641 is 59871.

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

3584536641 is a `hidden beast` number, since 3 + 58 + 4 + 536 + 64 + 1 = 666.

It is not a de Polignac number, because 3584536641 - 2³ = 3584536633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3584536621) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1255866 + ... + 1258716.

Almost surely, 2^3584536641 is an apocalyptic number.

3584536641 is the 59871-st square number.

3584536641 is the 29936-th centered octagonal number.

It is an amenable number.

3584536641 is a deficient number, since it is larger than the sum of its proper divisors (2440573632).

3584536641 is an frugal number, since it uses more digits than its factorization.

3584536641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5722 (or 2861 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The cubic root of 3584536641 is about 1530.4213231577.

It can be divided in two parts, 3584 and 536641, that added together give a square (540225 = 735²).

The spelling of 3584536641 in words is "three billion, five hundred eighty-four million, five hundred thirty-six thousand, six hundred forty-one".