343048764960 has 216 divisors, whose sum is σ = 1286752472460. Its totient is φ = 83163294720.

The previous prime is 343048764941. The next prime is 343048764979. The reversal of 343048764960 is 69467840343.

343048764960 is a `hidden beast` number, since 3 + 43 + 0 + 48 + 76 + 496 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (343048764941) and next prime (343048764979).

It can be written as a sum of positive squares in 2 ways, for example, as 320523557904 + 22525207056 = 566148^2 + 150084^2 .

It is a junction number, because it is equal to n+sod(n) for n = 343048764897 and 343048764906.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 810175 + ... + 1158654.

Almost surely, 2^343048764960 is an apocalyptic number.

343048764960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

343048764960 is an abundant number, since it is smaller than the sum of its proper divisors (943703707500).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

343048764960 is a wasteful number, since it uses less digits than its factorization.

343048764960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968872 (or 1968850 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 343048764960 in words is "three hundred forty-three billion, forty-eight million, seven hundred sixty-four thousand, nine hundred sixty".