34442112 has 64 divisors (see below), whose sum is σ = 92106000. Its totient is φ = 11403264.

The previous prime is 34442077. The next prime is 34442113. The reversal of 34442112 is 21124443.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34442113) 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, 98514 + ... + 98862.

Almost surely, 2^34442112 is an apocalyptic number.

34442112 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 34442112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46053000).

34442112 is an abundant number, since it is smaller than the sum of its proper divisors (57663888).

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

34442112 is a wasteful number, since it uses less digits than its factorization.

34442112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 611 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 34442112 is about 5868.7402396085. The cubic root of 34442112 is about 325.3593248666.

Adding to 34442112 its reverse (21124443), we get a palindrome (55566555).

The spelling of 34442112 in words is "thirty-four million, four hundred forty-two thousand, one hundred twelve".