34048 has 36 divisors (see below), whose sum is σ = 81760. Its totient is φ = 13824.

The previous prime is 34039. The next prime is 34057. The reversal of 34048 is 84043.

It is an interprime number because it is at equal distance from previous prime (34039) and next prime (34057).

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

34048 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1783 + ... + 1801.

2³⁴⁰⁴⁸ is an apocalyptic number.

34048 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40880).

34048 is an abundant number, since it is smaller than the sum of its proper divisors (47712).

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

34048 is an equidigital number, since it uses as much as digits as its factorization.

34048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 34048 is about 184.5210015147. The cubic root of 34048 is about 32.4113560762.

The spelling of 34048 in words is "thirty-four thousand, forty-eight".