34089048 has 96 divisors (see below), whose sum is σ = 106329600. Its totient is φ = 9664704.

The previous prime is 34089043. The next prime is 34089061. The reversal of 34089048 is 84098043.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34089043) 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 23 ways as a sum of consecutive naturals, for example, 120315 + ... + 120597.

It is an arithmetic number, because the mean of its divisors is an integer number (1107600).

Almost surely, 2^34089048 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 34089048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53164800).

34089048 is an abundant number, since it is smaller than the sum of its proper divisors (72240552).

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

34089048 is a wasteful number, since it uses less digits than its factorization.

34089048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 34089048 is about 5838.5827047324. The cubic root of 34089048 is about 324.2437580375.

The spelling of 34089048 in words is "thirty-four million, eighty-nine thousand, forty-eight".