343726416 has 320 divisors, whose sum is σ = 1171353600. Its totient is φ = 96577920.

The previous prime is 343726403. The next prime is 343726429. The reversal of 343726416 is 614627343.

It is a happy number.

343726416 is a `hidden beast` number, since 3 + 4 + 3 + 7 + 2 + 641 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (343726403) and next prime (343726429).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7313305 + ... + 7313351.

It is an arithmetic number, because the mean of its divisors is an integer number (3660480).

Almost surely, 2^343726416 is an apocalyptic number.

343726416 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 343726416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585676800).

343726416 is an abundant number, since it is smaller than the sum of its proper divisors (827627184).

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

343726416 is a wasteful number, since it uses less digits than its factorization.

343726416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 82 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 343726416 is about 18539.8601936476. The cubic root of 343726416 is about 700.4938121046.

The spelling of 343726416 in words is "three hundred forty-three million, seven hundred twenty-six thousand, four hundred sixteen".