34434048 has 88 divisors (see below), whose sum is σ = 100221120. Its totient is φ = 10424320.

The previous prime is 34434019. The next prime is 34434067. The reversal of 34434048 is 84043443.

It is a tau number, because it is divible by the number of its divisors (88).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33283 + ... + 34301.

Almost surely, 2^34434048 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 34434048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50110560).

34434048 is an abundant number, since it is smaller than the sum of its proper divisors (65787072).

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

34434048 is a wasteful number, since it uses less digits than its factorization.

34434048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 34434048 is about 5868.0531694933. The cubic root of 34434048 is about 325.3339305433. Note that the first 3 decimals are identical.

The spelling of 34434048 in words is "thirty-four million, four hundred thirty-four thousand, forty-eight".