343456416 has 48 divisors (see below), whose sum is σ = 1001750400. Its totient is φ = 114485184.

The previous prime is 343456361. The next prime is 343456427. The reversal of 343456416 is 614654343.

343456416 is a `hidden beast` number, since 3 + 4 + 3 + 4 + 5 + 641 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 197896 + ... + 199623.

It is an arithmetic number, because the mean of its divisors is an integer number (20869800).

Almost surely, 2^343456416 is an apocalyptic number.

343456416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

343456416 is an abundant number, since it is smaller than the sum of its proper divisors (658293984).

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

343456416 is a wasteful number, since it uses less digits than its factorization.

343456416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397538 (or 397524 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 343456416 is about 18532.5771548374. The cubic root of 343456416 is about 700.3103494591.

The spelling of 343456416 in words is "three hundred forty-three million, four hundred fifty-six thousand, four hundred sixteen".