3504679782241 has 9 divisors (see below), whose sum is σ = 3852273966163. Its totient is φ = 3186053808520.

The previous prime is 3504679782193. The next prime is 3504679782271. The reversal of 3504679782241 is 1422879764053.

The square root of 3504679782241 is 1872079.

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

It can be written as a sum of positive squares in only one way, i.e., 897811205841 + 2606868576400 = 947529^2 + 1614580^2 .

It is not a de Polignac number, because 3504679782241 - 2²³ = 3504671393633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3504679782271) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20507775 + ... + 20677963.

It is a 1-persistent number, because it is pandigital, but 2⋅3504679782241 = 7009359564482 is not.

Almost surely, 2^{3504679782241} is an apocalyptic number.

3504679782241 is the 1872079-th square number.

3504679782241 is the 936040-th centered octagonal number.

It is an amenable number.

3504679782241 is a deficient number, since it is larger than the sum of its proper divisors (347594183922).

3504679782241 is an frugal number, since it uses more digits than its factorization.

3504679782241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340400 (or 170200 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 58.

The spelling of 3504679782241 in words is "three trillion, five hundred four billion, six hundred seventy-nine million, seven hundred eighty-two thousand, two hundred forty-one".