34126432 has 72 divisors (see below), whose sum is σ = 74458440. Its totient is φ = 15344640.

The previous prime is 34126403. The next prime is 34126439. The reversal of 34126432 is 23462143.

It is a super-2 number, since 2×34126432² = 2329226722101248, which contains 22 as substring.

Its product of digits (3456) is a multiple of the sum of its prime factors (144).

It is a junction number, because it is equal to n+sod(n) for n = 34126397 and 34126406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34126439) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 832332 + ... + 832372.

It is an arithmetic number, because the mean of its divisors is an integer number (1034145).

Almost surely, 2^34126432 is an apocalyptic number.

34126432 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 34126432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37229220).

34126432 is an abundant number, since it is smaller than the sum of its proper divisors (40332008).

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

34126432 is a wasteful number, since it uses less digits than its factorization.

34126432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 99 counting only the distinct ones).

The product of its digits is 3456, while the sum is 25.

The square root of 34126432 is about 5841.7832893732. The cubic root of 34126432 is about 324.3622428198.

Adding to 34126432 its reverse (23462143), we get a palindrome (57588575).

It can be divided in two parts, 3412643 and 2, that multiplied together give a palindrome (6825286).

The spelling of 34126432 in words is "thirty-four million, one hundred twenty-six thousand, four hundred thirty-two".