3584096435241 has 81 divisors (see below), whose sum is σ = 6398552555031. Its totient is φ = 1927217787264.

The previous prime is 3584096435203. The next prime is 3584096435273. The reversal of 3584096435241 is 1425346904853.

It is a happy number.

The square root of 3584096435241 is 1893171.

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

3584096435241 is a `hidden beast` number, since 3 + 5 + 84 + 0 + 96 + 435 + 2 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2790386498025 + 793709937216 = 1670445^2 + 890904^2 .

It is not a de Polignac number, because 3584096435241 - 2⁷ = 3584096435113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3584096435641) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 675859396 + ... + 675864698.

Almost surely, 2^{3584096435241} is an apocalyptic number.

3584096435241 is the 1893171-st square number.

3584096435241 is the 946586-th centered octagonal number.

It is an amenable number.

3584096435241 is a deficient number, since it is larger than the sum of its proper divisors (2814456119790).

3584096435241 is an frugal number, since it uses more digits than its factorization.

3584096435241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10660 (or 5330 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 3584096435241 in words is "three trillion, five hundred eighty-four billion, ninety-six million, four hundred thirty-five thousand, two hundred forty-one".