343481160960 has 1728 divisors, whose sum is σ = 1551362641920. Its totient is φ = 71144054784.

The previous prime is 343481160949. The next prime is 343481160989. The reversal of 343481160960 is 69061184343.

343481160960 is a `hidden beast` number, since 3 + 4 + 3 + 481 + 160 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14933963509 + ... + 14933963531.

Almost surely, 2^343481160960 is an apocalyptic number.

343481160960 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 343481160960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775681320960).

343481160960 is an abundant number, since it is smaller than the sum of its proper divisors (1207881480960).

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

343481160960 is an frugal number, since it uses more digits than its factorization.

343481160960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 343481160960 in words is "three hundred forty-three billion, four hundred eighty-one million, one hundred sixty thousand, nine hundred sixty".