343348346880 has 1440 divisors, whose sum is σ = 1566420055200. Its totient is φ = 71345111040.

The previous prime is 343348346879. The next prime is 343348346897. The reversal of 343348346880 is 88643843343.

343348346880 is a `hidden beast` number, since 3 + 43 + 3 + 483 + 46 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31213486075 + ... + 31213486085.

It is an arithmetic number, because the mean of its divisors is an integer number (1087791705).

Almost surely, 2^343348346880 is an apocalyptic number.

343348346880 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 343348346880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783210027600).

343348346880 is an abundant number, since it is smaller than the sum of its proper divisors (1223071708320).

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

343348346880 is an frugal number, since it uses more digits than its factorization.

343348346880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 54.

The spelling of 343348346880 in words is "three hundred forty-three billion, three hundred forty-eight million, three hundred forty-six thousand, eight hundred eighty".