343879240320 has 1920 divisors, whose sum is σ = 1612745925120. Its totient is φ = 68976230400.

The previous prime is 343879240301. The next prime is 343879240357. The reversal of 343879240320 is 23042978343.

343879240320 is a `hidden beast` number, since 3 + 4 + 3 + 87 + 9 + 240 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 866194362 + ... + 866194758.

It is an arithmetic number, because the mean of its divisors is an integer number (839971836).

Almost surely, 2^343879240320 is an apocalyptic number.

343879240320 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 343879240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806372962560).

343879240320 is an abundant number, since it is smaller than the sum of its proper divisors (1268866684800).

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

343879240320 is a wasteful number, since it uses less digits than its factorization.

343879240320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 343879240320 in words is "three hundred forty-three billion, eight hundred seventy-nine million, two hundred forty thousand, three hundred twenty".