343490938561 has 9 divisors (see below), whose sum is σ = 345785343561. Its totient is φ = 341211669552.

The previous prime is 343490938501. The next prime is 343490938591. The reversal of 343490938561 is 165839094343.

The square root of 343490938561 is 586081.

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 9221952961 + 334268985600 = 96031^2 + 578160^2 .

It is not a de Polignac number, because 343490938561 - 2³¹ = 341343454913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (343490938501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 92012851 + ... + 92016583.

It is an arithmetic number, because the mean of its divisors is an integer number (38420593729).

Almost surely, 2^343490938561 is an apocalyptic number.

343490938561 is the 586081-st square number.

343490938561 is the 293041-st centered octagonal number.

It is an amenable number.

343490938561 is a deficient number, since it is larger than the sum of its proper divisors (2294405000).

343490938561 is an frugal number, since it uses more digits than its factorization.

343490938561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7780 (or 3890 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 55.

The spelling of 343490938561 in words is "three hundred forty-three billion, four hundred ninety million, nine hundred thirty-eight thousand, five hundred sixty-one".