34111728 has 120 divisors (see below), whose sum is σ = 111782528. Its totient is φ = 9507456.

The previous prime is 34111723. The next prime is 34111733. The reversal of 34111728 is 82711143.

It is an interprime number because it is at equal distance from previous prime (34111723) and next prime (34111733).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34111723) 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 23 ways as a sum of consecutive naturals, for example, 42951 + ... + 43737.

Almost surely, 2^34111728 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 34111728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55891264).

34111728 is an abundant number, since it is smaller than the sum of its proper divisors (77670800).

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

34111728 is a wasteful number, since it uses less digits than its factorization.

34111728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 842 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 34111728 is about 5840.5246339691. The cubic root of 34111728 is about 324.3156503176.

The spelling of 34111728 in words is "thirty-four million, one hundred eleven thousand, seven hundred twenty-eight".