344071728 has 540 divisors, whose sum is σ = 1368704064. Its totient is φ = 79833600.

The previous prime is 344071723. The next prime is 344071757. The reversal of 344071728 is 827170443.

It is a happy number.

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 = 344071692 and 344071701.

It is not an unprimeable number, because it can be changed into a prime (344071723) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 11099073 + ... + 11099103.

Almost surely, 2^344071728 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 344071728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684352032).

344071728 is an abundant number, since it is smaller than the sum of its proper divisors (1024632336).

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

344071728 is a wasteful number, since it uses less digits than its factorization.

344071728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 67 counting only the distinct ones).

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

The square root of 344071728 is about 18549.1705474935. The cubic root of 344071728 is about 700.7283086418.

The spelling of 344071728 in words is "three hundred forty-four million, seventy-one thousand, seven hundred twenty-eight".