34488 has 24 divisors (see below), whose sum is σ = 93600. Its totient is φ = 11472.

The previous prime is 34487. The next prime is 34499. The reversal of 34488 is 88443.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34483) 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 5 ways as a sum of consecutive naturals, for example, 168 + ... + 311.

It is an arithmetic number, because the mean of its divisors is an integer number (3900).

2³⁴⁴⁸⁸ is an apocalyptic number.

It is an amenable number.

34488 is an abundant number, since it is smaller than the sum of its proper divisors (59112).

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

34488 is a wasteful number, since it uses less digits than its factorization.

34488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 484 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 34488 is about 185.7094504865. The cubic root of 34488 is about 32.5503755257.

The spelling of 34488 in words is "thirty-four thousand, four hundred eighty-eight".