340441728 has 192 divisors, whose sum is σ = 1054892160. Its totient is φ = 96870400.

The previous prime is 340441723. The next prime is 340441747. The reversal of 340441728 is 827144043.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (340441723) 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 23 ways as a sum of consecutive naturals, for example, 789673 + ... + 790103.

It is an arithmetic number, because the mean of its divisors is an integer number (5494230).

Almost surely, 2^340441728 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 340441728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527446080).

340441728 is an abundant number, since it is smaller than the sum of its proper divisors (714450432).

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

340441728 is a wasteful number, since it uses less digits than its factorization.

340441728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 340441728 is about 18451.0630588050. The cubic root of 340441728 is about 698.2553341543.

The spelling of 340441728 in words is "three hundred forty million, four hundred forty-one thousand, seven hundred twenty-eight".