3444330240 has 432 divisors, whose sum is σ = 13012839840. Its totient is φ = 836075520.

The previous prime is 3444330193. The next prime is 3444330283. The reversal of 3444330240 is 420334443.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 16323735 + ... + 16323945.

Almost surely, 2^3444330240 is an apocalyptic number.

3444330240 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 3444330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6506419920).

3444330240 is an abundant number, since it is smaller than the sum of its proper divisors (9568509600).

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

3444330240 is a wasteful number, since it uses less digits than its factorization.

3444330240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 3444330240 is about 58688.4165743122. The cubic root of 3444330240 is about 1510.2016075124.

Adding to 3444330240 its reverse (420334443), we get a palindrome (3864664683).

The spelling of 3444330240 in words is "three billion, four hundred forty-four million, three hundred thirty thousand, two hundred forty".