343105736064 has 256 divisors, whose sum is σ = 1128348480000. Its totient is φ = 90487867392.

The previous prime is 343105736059. The next prime is 343105736087. The reversal of 343105736064 is 460637501343.

It is a super-2 number, since 2×343105736064² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 5876487 + ... + 5934585.

It is an arithmetic number, because the mean of its divisors is an integer number (4407611250).

Almost surely, 2^343105736064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343105736064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564174240000).

343105736064 is an abundant number, since it is smaller than the sum of its proper divisors (785242743936).

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

343105736064 is an equidigital number, since it uses as much as digits as its factorization.

343105736064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58162 (or 58124 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 42.

The spelling of 343105736064 in words is "three hundred forty-three billion, one hundred five million, seven hundred thirty-six thousand, sixty-four".