3344414440 has 128 divisors (see below), whose sum is σ = 7897190400. Its totient is φ = 1273708800.

The previous prime is 3344414419. The next prime is 3344414441. The reversal of 3344414440 is 444144433.

It is a super-2 number, since 2×3344414440² = 22370215892961027200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3344414441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20517799 + ... + 20517961.

It is an arithmetic number, because the mean of its divisors is an integer number (61696800).

Almost surely, 2^3344414440 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 3344414440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3948595200).

3344414440 is an abundant number, since it is smaller than the sum of its proper divisors (4552775960).

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

3344414440 is a wasteful number, since it uses less digits than its factorization.

3344414440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

The square root of 3344414440 is about 57830.9124949624. The cubic root of 3344414440 is about 1495.4550487801.

Adding to 3344414440 its reverse (444144433), we get a palindrome (3788558873).

It can be divided in two parts, 3 and 344414440, that added together give a palindrome (344414443).

The spelling of 3344414440 in words is "three billion, three hundred forty-four million, four hundred fourteen thousand, four hundred forty".