343348416 has 224 divisors, whose sum is σ = 1079723520. Its totient is φ = 106748928.

The previous prime is 343348387. The next prime is 343348451. The reversal of 343348416 is 614843343.

It is a happy number.

343348416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2106351 + ... + 2106513.

Almost surely, 2^343348416 is an apocalyptic number.

343348416 is a gapful number since it is divisible by the number (36) 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 343348416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539861760).

343348416 is an abundant number, since it is smaller than the sum of its proper divisors (736375104).

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

343348416 is a wasteful number, since it uses less digits than its factorization.

343348416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 244 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 343348416 is about 18529.6631377907. The cubic root of 343348416 is about 700.2369374789.

The spelling of 343348416 in words is "three hundred forty-three million, three hundred forty-eight thousand, four hundred sixteen".