343408705408 has 64 divisors (see below), whose sum is σ = 697248025920. Its totient is φ = 168415037440.

The previous prime is 343408705399. The next prime is 343408705439. The reversal of 343408705408 is 804507804343.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35482266 + ... + 35491942.

It is an arithmetic number, because the mean of its divisors is an integer number (10894500405).

Almost surely, 2^343408705408 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 343408705408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348624012960).

343408705408 is an abundant number, since it is smaller than the sum of its proper divisors (353839320512).

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

343408705408 is an equidigital number, since it uses as much as digits as its factorization.

343408705408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14975 (or 14963 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 46.

The spelling of 343408705408 in words is "three hundred forty-three billion, four hundred eight million, seven hundred five thousand, four hundred eight".