34288272 has 60 divisors (see below), whose sum is σ = 99524880. Its totient is φ = 11428128.

The previous prime is 34288271. The next prime is 34288279. The reversal of 34288272 is 27288243.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (34288271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 522 + ... + 8297.

It is an arithmetic number, because the mean of its divisors is an integer number (1658748).

Almost surely, 2^34288272 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 34288272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49762440).

34288272 is an abundant number, since it is smaller than the sum of its proper divisors (65236608).

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

34288272 is an equidigital number, since it uses as much as digits as its factorization.

34288272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8842 (or 8824 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 34288272 is about 5855.6188400544. The cubic root of 34288272 is about 324.8741824621.

The spelling of 34288272 in words is "thirty-four million, two hundred eighty-eight thousand, two hundred seventy-two".