34265728 has 64 divisors (see below), whose sum is σ = 78825600. Its totient is φ = 14533632.

The previous prime is 34265723. The next prime is 34265779. The reversal of 34265728 is 82756243.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (34265723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149518 + ... + 149746.

It is an arithmetic number, because the mean of its divisors is an integer number (1231650).

Almost surely, 2^34265728 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 34265728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39412800).

34265728 is an abundant number, since it is smaller than the sum of its proper divisors (44559872).

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

34265728 is a wasteful number, since it uses less digits than its factorization.

34265728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 405 counting only the distinct ones).

The product of its digits is 80640, while the sum is 37.

The square root of 34265728 is about 5853.6935348547. The cubic root of 34265728 is about 324.8029669623.

The spelling of 34265728 in words is "thirty-four million, two hundred sixty-five thousand, seven hundred twenty-eight".