3354610561 has 9 divisors (see below), whose sum is σ = 3564594499. Its totient is φ = 3156353824.

The previous prime is 3354610549. The next prime is 3354610573. The reversal of 3354610561 is 1650164533.

The square root of 3354610561 is 57919.

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

It is an interprime number because it is at equal distance from previous prime (3354610549) and next prime (3354610573).

It can be written as a sum of positive squares in only one way, i.e., 2611721025 + 742889536 = 51105^2 + 27256^2 .

It is not a de Polignac number, because 3354610561 - 2⁷ = 3354610433 is a prime.

It is a super-2 number, since 2×3354610561² = 22506824031945469442, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3354610541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 982920 + ... + 986326.

Almost surely, 2^3354610561 is an apocalyptic number.

3354610561 is the 57919-th square number.

3354610561 is the 28960-th centered octagonal number.

It is an amenable number.

3354610561 is a deficient number, since it is larger than the sum of its proper divisors (209983938).

3354610561 is an frugal number, since it uses more digits than its factorization.

3354610561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6848 (or 3424 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The cubic root of 3354610561 is about 1496.9732389568.

Multiplying 3354610561 by its product of nonzero digits (32400), we get a square (108689382176400 = 10425420²).

The spelling of 3354610561 in words is "three billion, three hundred fifty-four million, six hundred ten thousand, five hundred sixty-one".