3440411424 has 144 divisors (see below), whose sum is σ = 10052314272. Its totient is φ = 1115541504.

The previous prime is 3440411399. The next prime is 3440411449. The reversal of 3440411424 is 4241140443.

It is an interprime number because it is at equal distance from previous prime (3440411399) and next prime (3440411449).

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4371159 + ... + 4371945.

It is an arithmetic number, because the mean of its divisors is an integer number (69807738).

Almost surely, 2^3440411424 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 3440411424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5026157136).

3440411424 is an abundant number, since it is smaller than the sum of its proper divisors (6611902848).

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

3440411424 is a wasteful number, since it uses less digits than its factorization.

3440411424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 3440411424 is about 58655.0204500859. The cubic root of 3440411424 is about 1509.6286419212.

Adding to 3440411424 its reverse (4241140443), we get a palindrome (7681551867).

The spelling of 3440411424 in words is "three billion, four hundred forty million, four hundred eleven thousand, four hundred twenty-four".