343009728 has 140 divisors (see below), whose sum is σ = 1026761472. Its totient is φ = 113218560.

The previous prime is 343009727. The next prime is 343009729. The reversal of 343009728 is 827900343.

It is an interprime number because it is at equal distance from previous prime (343009727) and next prime (343009729).

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

It is a junction number, because it is equal to n+sod(n) for n = 343009692 and 343009701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343009727) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 658108 + ... + 658628.

Almost surely, 2^343009728 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 343009728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513380736).

343009728 is an abundant number, since it is smaller than the sum of its proper divisors (683751744).

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

343009728 is a wasteful number, since it uses less digits than its factorization.

343009728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 343009728 is about 18520.5218069038. The cubic root of 343009728 is about 700.0066176245.

The spelling of 343009728 in words is "three hundred forty-three million, nine thousand, seven hundred twenty-eight".