34444632 has 64 divisors (see below), whose sum is σ = 89740800. Its totient is φ = 11007360.

The previous prime is 34444621. The next prime is 34444651. The reversal of 34444632 is 23644443.

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

It is a self number, because there is not a number n which added to its sum of digits gives 34444632.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69907 + ... + 70397.

It is an arithmetic number, because the mean of its divisors is an integer number (1402200).

Almost surely, 2^34444632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34444632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44870400).

34444632 is an abundant number, since it is smaller than the sum of its proper divisors (55296168).

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

34444632 is a wasteful number, since it uses less digits than its factorization.

34444632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 612 counting only the distinct ones).

The product of its digits is 27648, while the sum is 30.

The square root of 34444632 is about 5868.9549325242. The cubic root of 34444632 is about 325.3672597798.

The spelling of 34444632 in words is "thirty-four million, four hundred forty-four thousand, six hundred thirty-two".