34441440 has 144 divisors (see below), whose sum is σ = 119451024. Its totient is φ = 8335360.

The previous prime is 34441423. The next prime is 34441441. The reversal of 34441440 is 4414443.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 34441440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34441441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57784 + ... + 58376.

It is an arithmetic number, because the mean of its divisors is an integer number (829521).

Almost surely, 2^34441440 is an apocalyptic number.

34441440 is a gapful number since it is divisible by the number (30) 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 34441440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59725512).

34441440 is an abundant number, since it is smaller than the sum of its proper divisors (85009584).

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

34441440 is a wasteful number, since it uses less digits than its factorization.

34441440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 34441440 is about 5868.6829868378. The cubic root of 34441440 is about 325.3572088244.

Adding to 34441440 its reverse (4414443), we get a palindrome (38855883).

It can be divided in two parts, 3444 and 1440, that added together give a palindrome (4884).

The spelling of 34441440 in words is "thirty-four million, four hundred forty-one thousand, four hundred forty".