343427700480 has 288 divisors, whose sum is σ = 1163215577664. Its totient is φ = 86054535168.

The previous prime is 343427700443. The next prime is 343427700481. The reversal of 343427700480 is 84007724343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343427700481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43929532 + ... + 43937348.

It is an arithmetic number, because the mean of its divisors is an integer number (4038942978).

Almost surely, 2^343427700480 is an apocalyptic number.

343427700480 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 343427700480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581607788832).

343427700480 is an abundant number, since it is smaller than the sum of its proper divisors (819787877184).

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

343427700480 is a wasteful number, since it uses less digits than its factorization.

343427700480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8531 (or 8517 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 42.

The spelling of 343427700480 in words is "three hundred forty-three billion, four hundred twenty-seven million, seven hundred thousand, four hundred eighty".