34065288 has 48 divisors (see below), whose sum is σ = 94414320. Its totient is φ = 11090016.

The previous prime is 34065287. The next prime is 34065341. The reversal of 34065288 is 88256043.

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 (34065287) 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, 2406 + ... + 8597.

It is an arithmetic number, because the mean of its divisors is an integer number (1966965).

Almost surely, 2^34065288 is an apocalyptic number.

It is an amenable number.

34065288 is an abundant number, since it is smaller than the sum of its proper divisors (60349032).

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

34065288 is a wasteful number, since it uses less digits than its factorization.

34065288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11058 (or 11051 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 34065288 is about 5836.5476096747. The cubic root of 34065288 is about 324.1684081061.

The spelling of 34065288 in words is "thirty-four million, sixty-five thousand, two hundred eighty-eight".