343384272 has 480 divisors, whose sum is σ = 1317249024. Its totient is φ = 83980800.

The previous prime is 343384267. The next prime is 343384289. The reversal of 343384272 is 272483343.

343384272 is a `hidden beast` number, since 3 + 4 + 3 + 384 + 272 = 666.

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 a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 9280638 + ... + 9280674.

Almost surely, 2^343384272 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 343384272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658624512).

343384272 is an abundant number, since it is smaller than the sum of its proper divisors (973864752).

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

343384272 is a wasteful number, since it uses less digits than its factorization.

343384272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 91 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 343384272 is about 18530.6306422636. The cubic root of 343384272 is about 700.2613119632.

The spelling of 343384272 in words is "three hundred forty-three million, three hundred eighty-four thousand, two hundred seventy-two".