34110048 has 96 divisors (see below), whose sum is σ = 103251456. Its totient is φ = 9658368.

The previous prime is 34110047. The next prime is 34110071. The reversal of 34110048 is 84001143.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34110047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129565 + ... + 129827.

It is an arithmetic number, because the mean of its divisors is an integer number (1075536).

Almost surely, 2^34110048 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 34110048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51625728).

34110048 is an abundant number, since it is smaller than the sum of its proper divisors (69141408).

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

34110048 is a wasteful number, since it uses less digits than its factorization.

34110048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 34110048 is about 5840.3808095021. The cubic root of 34110048 is about 324.3103260565.

The spelling of 34110048 in words is "thirty-four million, one hundred ten thousand, forty-eight".