340417728 has 336 divisors, whose sum is σ = 1198229760. Its totient is φ = 93809664.

The previous prime is 340417709. The next prime is 340417729. The reversal of 340417728 is 827714043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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 = 340417692 and 340417701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340417729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5769763 + ... + 5769821.

It is an arithmetic number, because the mean of its divisors is an integer number (3566160).

Almost surely, 2^340417728 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 340417728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599114880).

340417728 is an abundant number, since it is smaller than the sum of its proper divisors (857812032).

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

340417728 is an equidigital number, since it uses as much as digits as its factorization.

340417728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 340417728 is about 18450.4126783116. The cubic root of 340417728 is about 698.2389255490.

The spelling of 340417728 in words is "three hundred forty million, four hundred seventeen thousand, seven hundred twenty-eight".