343978480 has 80 divisors (see below), whose sum is σ = 841446144. Its totient is φ = 130590720.

The previous prime is 343978463. The next prime is 343978487. The reversal of 343978480 is 84879343.

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

It is a super-2 number, since 2×343978480² = 236642389406220800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 343978480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343978487) 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, 130132 + ... + 132748.

Almost surely, 2^343978480 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 343978480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420723072).

343978480 is an abundant number, since it is smaller than the sum of its proper divisors (497467664).

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

343978480 is a wasteful number, since it uses less digits than its factorization.

343978480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2714 (or 2708 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The square root of 343978480 is about 18546.6568415982. The cubic root of 343978480 is about 700.6650007017.

The spelling of 343978480 in words is "three hundred forty-three million, nine hundred seventy-eight thousand, four hundred eighty".