34327728 has 60 divisors (see below), whose sum is σ = 96591040. Its totient is φ = 11380608.

The previous prime is 34327723. The next prime is 34327751. The reversal of 34327728 is 82772343.

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 = 34327692 and 34327701.

It is not an unprimeable number, because it can be changed into a prime (34327723) 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 11 ways as a sum of consecutive naturals, for example, 31578 + ... + 32646.

Almost surely, 2^34327728 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 34327728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48295520).

34327728 is an abundant number, since it is smaller than the sum of its proper divisors (62263312).

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

34327728 is a wasteful number, since it uses less digits than its factorization.

34327728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1297 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 34327728 is about 5858.9869431498. The cubic root of 34327728 is about 324.9987471352.

The spelling of 34327728 in words is "thirty-four million, three hundred twenty-seven thousand, seven hundred twenty-eight".