343399291173120 has 1728 divisors, whose sum is σ = 1371569516642304. Its totient is φ = 71691803688960.

The previous prime is 343399291173101. The next prime is 343399291173137. The reversal of 343399291173120 is 21371192993343.

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, 353655294235 + ... + 353655295205.

It is an arithmetic number, because the mean of its divisors is an integer number (793732359168).

Almost surely, 2^{343399291173120} is an apocalyptic number.

343399291173120 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 343399291173120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685784758321152).

343399291173120 is an abundant number, since it is smaller than the sum of its proper divisors (1028170225469184).

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

343399291173120 is a wasteful number, since it uses less digits than its factorization.

343399291173120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 6613488, while the sum is 57.

The spelling of 343399291173120 in words is "three hundred forty-three trillion, three hundred ninety-nine billion, two hundred ninety-one million, one hundred seventy-three thousand, one hundred twenty".