343879680 has 208 divisors, whose sum is σ = 1144118880. Its totient is φ = 88080384.

The previous prime is 343879667. The next prime is 343879687. The reversal of 343879680 is 86978343.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (343879687) 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, 1781664 + ... + 1781856.

Almost surely, 2^343879680 is an apocalyptic number.

343879680 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 343879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572059440).

343879680 is an abundant number, since it is smaller than the sum of its proper divisors (800239200).

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

343879680 is a wasteful number, since it uses less digits than its factorization.

343879680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 343879680 is about 18543.9930974966. The cubic root of 343879680 is about 700.5979109126.

The spelling of 343879680 in words is "three hundred forty-three million, eight hundred seventy-nine thousand, six hundred eighty".