44349984 has 96 divisors (see below), whose sum is σ = 147853440. Its totient is φ = 12669696.

The previous prime is 44349983. The next prime is 44349997. The reversal of 44349984 is 48994344.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (44349983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2382 + ... + 9714.

It is an arithmetic number, because the mean of its divisors is an integer number (1540140).

Almost surely, 2^44349984 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 44349984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73926720).

44349984 is an abundant number, since it is smaller than the sum of its proper divisors (103503456).

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

44349984 is a wasteful number, since it uses less digits than its factorization.

44349984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7359 (or 7345 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 44349984 is about 6659.5783650318. The cubic root of 44349984 is about 353.9683970639.

The spelling of 44349984 in words is "forty-four million, three hundred forty-nine thousand, nine hundred eighty-four".