34444512 has 72 divisors (see below), whose sum is σ = 98607600. Its totient is φ = 11404800.

The previous prime is 34444483. The next prime is 34444523. The reversal of 34444512 is 21544443.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57012 + ... + 57612.

It is an arithmetic number, because the mean of its divisors is an integer number (1369550).

Almost surely, 2^34444512 is an apocalyptic number.

34444512 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 34444512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49303800).

34444512 is an abundant number, since it is smaller than the sum of its proper divisors (64163088).

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

34444512 is a wasteful number, since it uses less digits than its factorization.

34444512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 805 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 34444512 is about 5868.9447092301. The cubic root of 34444512 is about 325.3668819355.

Adding to 34444512 its reverse (21544443), we get a palindrome (55988955).

The spelling of 34444512 in words is "thirty-four million, four hundred forty-four thousand, five hundred twelve".