34126344 has 144 divisors (see below), whose sum is σ = 114039900. Its totient is φ = 9160704.

The previous prime is 34126333. The next prime is 34126357. The reversal of 34126344 is 44362143.

It can be written as a sum of positive squares in 2 ways, for example, as 34082244 + 44100 = 5838^2 + 210^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 59692 + ... + 60260.

Almost surely, 2^34126344 is an apocalyptic number.

34126344 is a gapful number since it is divisible by the number (34) 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 34126344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57019950).

34126344 is an abundant number, since it is smaller than the sum of its proper divisors (79913556).

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

34126344 is a wasteful number, since it uses less digits than its factorization.

34126344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 598 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 34126344 is about 5841.7757574217. The cubic root of 34126344 is about 324.3619640144.

Adding to 34126344 its reverse (44362143), we get a palindrome (78488487).

The spelling of 34126344 in words is "thirty-four million, one hundred twenty-six thousand, three hundred forty-four".