3477342961 has 9 divisors (see below), whose sum is σ = 3516036993. Its totient is φ = 3439072080.

The previous prime is 3477342907. The next prime is 3477342989. The reversal of 3477342961 is 1692437743.

The square root of 3477342961 is 58969.

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

It can be written as a sum of positive squares in 4 ways, for example, as 34000561 + 3443342400 = 5831^2 + 58680^2 .

It is not a de Polignac number, because 3477342961 - 2¹⁹ = 3476818673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3477342901) 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, 6427351 + ... + 6427891.

It is an arithmetic number, because the mean of its divisors is an integer number (390670777).

Almost surely, 2^3477342961 is an apocalyptic number.

3477342961 is the 58969-th square number.

3477342961 is the 29485-th centered octagonal number.

It is an amenable number.

3477342961 is a deficient number, since it is larger than the sum of its proper divisors (38694032).

3477342961 is an frugal number, since it uses more digits than its factorization.

3477342961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 650 counting only the distinct ones).

The product of its digits is 762048, while the sum is 46.

The cubic root of 3477342961 is about 1515.0111950434.

The spelling of 3477342961 in words is "three billion, four hundred seventy-seven million, three hundred forty-two thousand, nine hundred sixty-one".