34145728 has 28 divisors (see below), whose sum is σ = 68307712. Its totient is φ = 16934400.

The previous prime is 34145723. The next prime is 34145759. The reversal of 34145728 is 82754143.

34145728 is an admirable number.

It is a junction number, because it is equal to n+sod(n) for n = 34145693 and 34145702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34145723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6028 + ... + 10228.

Almost surely, 2^34145728 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 34145728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34153856).

34145728 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

34145728 is a wasteful number, since it uses less digits than its factorization.

34145728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4340 (or 4330 counting only the distinct ones).

The product of its digits is 26880, while the sum is 34.

The square root of 34145728 is about 5843.4346064622. The cubic root of 34145728 is about 324.4233656718.

The spelling of 34145728 in words is "thirty-four million, one hundred forty-five thousand, seven hundred twenty-eight".