343436161616160 has 192 divisors, whose sum is σ = 1086354193478400. Its totient is φ = 91199489310720.

The previous prime is 343436161616153. The next prime is 343436161616227. The reversal of 343436161616160 is 61616161634343.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4789000464 + ... + 4789072176.

It is an arithmetic number, because the mean of its divisors is an integer number (5658094757700).

Almost surely, 2^{343436161616160} is an apocalyptic number.

343436161616160 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 343436161616160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543177096739200).

343436161616160 is an abundant number, since it is smaller than the sum of its proper divisors (742918031862240).

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

343436161616160 is a wasteful number, since it uses less digits than its factorization.

343436161616160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113371 (or 113363 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 51.

The spelling of 343436161616160 in words is "three hundred forty-three trillion, four hundred thirty-six billion, one hundred sixty-one million, six hundred sixteen thousand, one hundred sixty".