345441728 has 56 divisors (see below), whose sum is σ = 717401664. Its totient is φ = 164864000.

The previous prime is 345441727. The next prime is 345441737. The reversal of 345441728 is 827144543.

It is a super-3 number, since 3×345441728³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 345441691 and 345441700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345441727) 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 7 ways as a sum of consecutive naturals, for example, 121928 + ... + 124728.

It is an arithmetic number, because the mean of its divisors is an integer number (12810744).

Almost surely, 2^345441728 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 345441728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358700832).

345441728 is an abundant number, since it is smaller than the sum of its proper divisors (371959936).

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

345441728 is a wasteful number, since it uses less digits than its factorization.

345441728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2901 (or 2891 counting only the distinct ones).

The product of its digits is 107520, while the sum is 38.

The square root of 345441728 is about 18586.0627352864. The cubic root of 345441728 is about 701.6571134673.

The spelling of 345441728 in words is "three hundred forty-five million, four hundred forty-one thousand, seven hundred twenty-eight".