3440041320 has 128 divisors (see below), whose sum is σ = 10688423040. Its totient is φ = 885181440.

The previous prime is 3440041313. The next prime is 3440041349. The reversal of 3440041320 is 231400443.

3440041320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 383527 + ... + 392393.

It is an arithmetic number, because the mean of its divisors is an integer number (83503305).

Almost surely, 2^3440041320 is an apocalyptic number.

3440041320 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 3440041320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5344211520).

3440041320 is an abundant number, since it is smaller than the sum of its proper divisors (7248381720).

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

3440041320 is a wasteful number, since it uses less digits than its factorization.

3440041320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8995 (or 8991 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3440041320 is about 58651.8654434793. The cubic root of 3440041320 is about 1509.5745069582.

Adding to 3440041320 its reverse (231400443), we get a palindrome (3671441763).

The spelling of 3440041320 in words is "three billion, four hundred forty million, forty-one thousand, three hundred twenty".