343305976320 has 160 divisors (see below), whose sum is σ = 1219451682240. Its totient is φ = 91548241920.

The previous prime is 343305976319. The next prime is 343305976339. The reversal of 343305976320 is 23679503343.

343305976320 is a `hidden beast` number, since 3 + 4 + 3 + 3 + 0 + 5 + 9 + 7 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2414286 + ... + 2552525.

It is an arithmetic number, because the mean of its divisors is an integer number (7621573014).

Almost surely, 2^343305976320 is an apocalyptic number.

343305976320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

343305976320 is an abundant number, since it is smaller than the sum of its proper divisors (876145705920).

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

343305976320 is an equidigital number, since it uses as much as digits as its factorization.

343305976320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4966843 (or 4966821 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 45.

The spelling of 343305976320 in words is "three hundred forty-three billion, three hundred five million, nine hundred seventy-six thousand, three hundred twenty".