3478303330441 has 27 divisors (see below), whose sum is σ = 3710887886439. Its totient is φ = 3259817985312.

The previous prime is 3478303330393. The next prime is 3478303330459. The reversal of 3478303330441 is 1440333038743.

The square root of 3478303330441 is 1865021.

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., 1448544638025 + 2029758692416 = 1203555^2 + 1424696^2 .

It is not a de Polignac number, because 3478303330441 - 2⁹ = 3478303329929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3478303330741) 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, 3649845621 + ... + 3649846573.

Almost surely, 2^{3478303330441} is an apocalyptic number.

3478303330441 is the 1865021-st square number.

3478303330441 is the 932511-st centered octagonal number.

It is an amenable number.

3478303330441 is a deficient number, since it is larger than the sum of its proper divisors (232584555998).

3478303330441 is an frugal number, since it uses more digits than its factorization.

3478303330441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2150 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 43.

The spelling of 3478303330441 in words is "three trillion, four hundred seventy-eight billion, three hundred three million, three hundred thirty thousand, four hundred forty-one".