340728768 has 196 divisors, whose sum is σ = 1038306280. Its totient is φ = 110854656.

The previous prime is 340728763. The next prime is 340728809. The reversal of 340728768 is 867827043.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340728763) 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 27 ways as a sum of consecutive naturals, for example, 3125898 + ... + 3126006.

Almost surely, 2^340728768 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 340728768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519153140).

340728768 is an abundant number, since it is smaller than the sum of its proper divisors (697577512).

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

340728768 is an equidigital number, since it uses as much as digits as its factorization.

340728768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 340728768 is about 18458.8398335323. The cubic root of 340728768 is about 698.4515213347.

It can be divided in two parts, 3407287 and 68, that added together give a triangular number (3407355 = T₂₆₁₀).

The spelling of 340728768 in words is "three hundred forty million, seven hundred twenty-eight thousand, seven hundred sixty-eight".