34032288 has 48 divisors (see below), whose sum is σ = 90611136. Its totient is φ = 11182080.

The previous prime is 34032263. The next prime is 34032289. The reversal of 34032288 is 88223043.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (34032289) 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, 4320 + ... + 9312.

It is an arithmetic number, because the mean of its divisors is an integer number (1887732).

Almost surely, 2^34032288 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 34032288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45305568).

34032288 is an abundant number, since it is smaller than the sum of its proper divisors (56578848).

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

34032288 is a wasteful number, since it uses less digits than its factorization.

34032288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5077 (or 5069 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 34032288 is about 5833.7199110002. The cubic root of 34032288 is about 324.0636972769.

The spelling of 34032288 in words is "thirty-four million, thirty-two thousand, two hundred eighty-eight".