343758044160 has 1056 divisors, whose sum is σ = 1342114076160. Its totient is φ = 80932110336.

The previous prime is 343758044129. The next prime is 343758044173. The reversal of 343758044160 is 61440857343.

343758044160 is a `hidden beast` number, since 3 + 4 + 3 + 7 + 580 + 4 + 4 + 1 + 60 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 865889082 + ... + 865889478.

It is an arithmetic number, because the mean of its divisors is an integer number (1270941360).

Almost surely, 2^343758044160 is an apocalyptic number.

343758044160 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 343758044160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671057038080).

343758044160 is an abundant number, since it is smaller than the sum of its proper divisors (998356032000).

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

343758044160 is a wasteful number, since it uses less digits than its factorization.

343758044160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 343758044160 in words is "three hundred forty-three billion, seven hundred fifty-eight million, forty-four thousand, one hundred sixty".