34814112 has 48 divisors (see below), whose sum is σ = 91909440. Its totient is φ = 11538432.

The previous prime is 34814093. The next prime is 34814119. The reversal of 34814112 is 21141843.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is not an unprimeable number, because it can be changed into a prime (34814119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17589 + ... + 19467.

It is an arithmetic number, because the mean of its divisors is an integer number (1914780).

Almost surely, 2^34814112 is an apocalyptic number.

34814112 is a gapful number since it is divisible by the number (32) 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 34814112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45954720).

34814112 is an abundant number, since it is smaller than the sum of its proper divisors (57095328).

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

34814112 is a wasteful number, since it uses less digits than its factorization.

34814112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085 (or 2077 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 34814112 is about 5900.3484642858. The cubic root of 34814112 is about 326.5265056533.

Adding to 34814112 its reverse (21141843), we get a palindrome (55955955).

The spelling of 34814112 in words is "thirty-four million, eight hundred fourteen thousand, one hundred twelve".