3440440440 has 128 divisors (see below), whose sum is σ = 11491948800. Its totient is φ = 915546240.

The previous prime is 3440440439. The next prime is 3440440469. The reversal of 3440440440 is 440440443.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 561795 + ... + 567885.

It is an arithmetic number, because the mean of its divisors is an integer number (89780850).

Almost surely, 2^3440440440 is an apocalyptic number.

3440440440 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 3440440440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5745974400).

3440440440 is an abundant number, since it is smaller than the sum of its proper divisors (8051508360).

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

3440440440 is a wasteful number, since it uses less digits than its factorization.

3440440440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6634 (or 6624 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 3440440440 is about 58655.2677941206. The cubic root of 3440440440 is about 1509.6328859157.

Adding to 3440440440 its reverse (440440443), we get a palindrome (3880880883).

The spelling of 3440440440 in words is "three billion, four hundred forty million, four hundred forty thousand, four hundred forty".