343576412160 has 368 divisors, whose sum is σ = 1133871230976. Its totient is φ = 88785027072.

The previous prime is 343576412141. The next prime is 343576412161. The reversal of 343576412160 is 61214675343.

It is not an unprimeable number, because it can be changed into a prime (343576412161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2705326017 + ... + 2705326143.

Almost surely, 2^343576412160 is an apocalyptic number.

343576412160 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 343576412160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566935615488).

343576412160 is an abundant number, since it is smaller than the sum of its proper divisors (790294818816).

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

343576412160 is an frugal number, since it uses more digits than its factorization.

343576412160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 343576412160 in words is "three hundred forty-three billion, five hundred seventy-six million, four hundred twelve thousand, one hundred sixty".