343959963361 has 15 divisors (see below), whose sum is σ = 401296275731. Its totient is φ = 294798193536.

The previous prime is 343959963341. The next prime is 343959963407. The reversal of 343959963361 is 163369959343.

The square root of 343959963361 is 586481.

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., 29732449761 + 314227513600 = 172431^2 + 560560^2 .

It is not a de Polignac number, because 343959963361 - 2¹⁷ = 343959832289 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 343959963361.

It is not an unprimeable number, because it can be changed into a prime (343959963301) 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, 28731585 + ... + 28743553.

Almost surely, 2^343959963361 is an apocalyptic number.

343959963361 is the 586481-st square number.

343959963361 is the 293241-st centered octagonal number.

It is an amenable number.

343959963361 is a deficient number, since it is larger than the sum of its proper divisors (57336312370).

343959963361 is an frugal number, since it uses more digits than its factorization.

343959963361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23966 (or 11976 counting only the distinct ones).

The product of its digits is 42515280, while the sum is 61.

The spelling of 343959963361 in words is "three hundred forty-three billion, nine hundred fifty-nine million, nine hundred sixty-three thousand, three hundred sixty-one".