3440416320 has 336 divisors, whose sum is σ = 13023616320. Its totient is φ = 826675200.

The previous prime is 3440416303. The next prime is 3440416339. The reversal of 3440416320 is 236140443.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4149666 + ... + 4150494.

Almost surely, 2^3440416320 is an apocalyptic number.

3440416320 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 3440416320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6511808160).

3440416320 is an abundant number, since it is smaller than the sum of its proper divisors (9583200000).

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

3440416320 is a wasteful number, since it uses less digits than its factorization.

3440416320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3440416320 is about 58655.0621856290. The cubic root of 3440416320 is about 1509.6293580311.

Adding to 3440416320 its reverse (236140443), we get a palindrome (3676556763).

The spelling of 3440416320 in words is "three billion, four hundred forty million, four hundred sixteen thousand, three hundred twenty".