345326952960 has 720 divisors, whose sum is σ = 1329164724888. Its totient is φ = 82787696640.

The previous prime is 345326952923. The next prime is 345326952973. The reversal of 345326952960 is 69259623543.

It is a happy number.

345326952960 is a `hidden beast` number, since 3 + 4 + 53 + 2 + 6 + 9 + 529 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 290615871744 + 54711081216 = 539088^2 + 233904^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a junction number, because it is equal to n+sod(n) for n = 345326952897 and 345326952906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 270419842 + ... + 270421118.

Almost surely, 2^345326952960 is an apocalyptic number.

345326952960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345326952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664582362444).

345326952960 is an abundant number, since it is smaller than the sum of its proper divisors (983837771928).

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

345326952960 is a wasteful number, since it uses less digits than its factorization.

345326952960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 54.

The spelling of 345326952960 in words is "three hundred forty-five billion, three hundred twenty-six million, nine hundred fifty-two thousand, nine hundred sixty".