3430220440 has 64 divisors (see below), whose sum is σ = 7863759360. Its totient is φ = 1346336640.

The previous prime is 3430220419. The next prime is 3430220489. The reversal of 3430220440 is 440220343.

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 15 ways as a sum of consecutive naturals, for example, 723919 + ... + 728641.

It is an arithmetic number, because the mean of its divisors is an integer number (122871240).

Almost surely, 2^3430220440 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 3430220440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931879680).

3430220440 is an abundant number, since it is smaller than the sum of its proper divisors (4433538920).

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

3430220440 is a wasteful number, since it uses less digits than its factorization.

3430220440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5072 (or 5068 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 3430220440 is about 58568.0837999674. The cubic root of 3430220440 is about 1508.1365900570.

Adding to 3430220440 its reverse (440220343), we get a palindrome (3870440783).

The spelling of 3430220440 in words is "three billion, four hundred thirty million, two hundred twenty thousand, four hundred forty".