44034120 has 144 divisors (see below), whose sum is σ = 155724660. Its totient is φ = 10727424.

The previous prime is 44034113. The next prime is 44034127. The reversal of 44034120 is 2143044.

44034120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (44034113) and next prime (44034127).

It can be written as a sum of positive squares in 6 ways, for example, as 8964036 + 35070084 = 2994^2 + 5922^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 44034093 and 44034102.

It is not an unprimeable number, because it can be changed into a prime (44034127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 453912 + ... + 454008.

Almost surely, 2^44034120 is an apocalyptic number.

44034120 is a gapful number since it is divisible by the number (40) 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 44034120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77862330).

44034120 is an abundant number, since it is smaller than the sum of its proper divisors (111690540).

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

44034120 is a wasteful number, since it uses less digits than its factorization.

44034120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 44034120 is about 6635.8209740770. The cubic root of 44034120 is about 353.1260641104.

Adding to 44034120 its reverse (2143044), we get a palindrome (46177164).

The spelling of 44034120 in words is "forty-four million, thirty-four thousand, one hundred twenty".