343407680 has 252 divisors, whose sum is σ = 1051363404. Its totient is φ = 106444800.

The previous prime is 343407679. The next prime is 343407697. The reversal of 343407680 is 86704343.

It can be written as a sum of positive squares in 2 ways, for example, as 45914176 + 297493504 = 6776^2 + 17248^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 343407680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1897190 + ... + 1897370.

It is an arithmetic number, because the mean of its divisors is an integer number (4172077).

Almost surely, 2^343407680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525681702).

343407680 is an abundant number, since it is smaller than the sum of its proper divisors (707955724).

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

343407680 is a wasteful number, since it uses less digits than its factorization.

343407680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The square root of 343407680 is about 18531.2622343973. The cubic root of 343407680 is about 700.2772235290.

The spelling of 343407680 in words is "three hundred forty-three million, four hundred seven thousand, six hundred eighty".