343116205014660 has 384 divisors, whose sum is σ = 1216890431447040. Its totient is φ = 70168247808000.

The previous prime is 343116205014659. The next prime is 343116205014689. The reversal of 343116205014660 is 66410502611343.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 75723976 + ... + 80127104.

It is an arithmetic number, because the mean of its divisors is an integer number (3168985498560).

Almost surely, 2^{343116205014660} is an apocalyptic number.

343116205014660 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 343116205014660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608445215723520).

343116205014660 is an abundant number, since it is smaller than the sum of its proper divisors (873774226432380).

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

343116205014660 is a wasteful number, since it uses less digits than its factorization.

343116205014660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4403427 (or 4403425 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 343116205014660 in words is "three hundred forty-three trillion, one hundred sixteen billion, two hundred five million, fourteen thousand, six hundred sixty".