3472710517441 has 15 divisors (see below), whose sum is σ = 3820205899315. Its totient is φ = 3156804574000.

The previous prime is 3472710517439. The next prime is 3472710517477. The reversal of 3472710517441 is 1447150172743.

It is a happy number.

The square root of 3472710517441 is 1863521.

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., 3450198515841 + 22512001600 = 1857471^2 + 150040^2 .

It is not a de Polignac number, because 3472710517441 - 2¹ = 3472710517439 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3472710517391 and 3472710517400.

It is not an unprimeable number, because it can be changed into a prime (3472710518441) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 225478341 + ... + 225493741.

Almost surely, 2^{3472710517441} is an apocalyptic number.

3472710517441 is the 1863521-st square number.

3472710517441 is the 931761-st centered octagonal number.

It is an amenable number.

3472710517441 is a deficient number, since it is larger than the sum of its proper divisors (347495381874).

3472710517441 is an frugal number, since it uses more digits than its factorization.

3472710517441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30846 (or 15412 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 46.

The spelling of 3472710517441 in words is "three trillion, four hundred seventy-two billion, seven hundred ten million, five hundred seventeen thousand, four hundred forty-one".