343105680 has 80 divisors (see below), whose sum is σ = 1075645440. Its totient is φ = 90461184.

The previous prime is 343105639. The next prime is 343105681. The reversal of 343105680 is 86501343.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (343105681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13329 + ... + 29391.

It is an arithmetic number, because the mean of its divisors is an integer number (13445568).

Almost surely, 2^343105680 is an apocalyptic number.

343105680 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 343105680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537822720).

343105680 is an abundant number, since it is smaller than the sum of its proper divisors (732539760).

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

343105680 is a wasteful number, since it uses less digits than its factorization.

343105680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16168 (or 16162 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 343105680 is about 18523.1120495450. The cubic root of 343105680 is about 700.0718837744.

The spelling of 343105680 in words is "three hundred forty-three million, one hundred five thousand, six hundred eighty".