343305747072 has 96 divisors (see below), whose sum is σ = 1000403352000. Its totient is φ = 112986671616.

The previous prime is 343305746963. The next prime is 343305747073. The reversal of 343305747072 is 270747503343.

343305747072 is a `hidden beast` number, since 3 + 4 + 3 + 3 + 0 + 574 + 7 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (343305747073) 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 11 ways as a sum of consecutive naturals, for example, 1795122 + ... + 1977137.

It is an arithmetic number, because the mean of its divisors is an integer number (10420868250).

Almost surely, 2^343305747072 is an apocalyptic number.

343305747072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

343305747072 is an abundant number, since it is smaller than the sum of its proper divisors (657097604928).

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

343305747072 is a wasteful number, since it uses less digits than its factorization.

343305747072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3772358 (or 3772343 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 45.

The spelling of 343305747072 in words is "three hundred forty-three billion, three hundred five million, seven hundred forty-seven thousand, seventy-two".