343695368163840 has 1280 divisors, whose sum is σ = 1443648360591360. Its totient is φ = 67579674624000.

The previous prime is 343695368163743. The next prime is 343695368163853. The reversal of 343695368163840 is 48361863596343.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-3 number, since 3×343695368163840³ (a number of 45 digits) contains 333 as substring.

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 127 ways as a sum of consecutive naturals, for example, 9898757680 + ... + 9898792400.

It is an arithmetic number, because the mean of its divisors is an integer number (1127850281712).

Almost surely, 2^{343695368163840} is an apocalyptic number.

343695368163840 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 343695368163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721824180295680).

343695368163840 is an abundant number, since it is smaller than the sum of its proper divisors (1099952992427520).

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

343695368163840 is a wasteful number, since it uses less digits than its factorization.

343695368163840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35665 (or 35649 counting only the distinct ones).

The product of its (nonzero) digits is 806215680, while the sum is 69.

The spelling of 343695368163840 in words is "three hundred forty-three trillion, six hundred ninety-five billion, three hundred sixty-eight million, one hundred sixty-three thousand, eight hundred forty".