3424441020 has 768 divisors, whose sum is σ = 14002716672. Its totient is φ = 602173440.

The previous prime is 3424440937. The next prime is 3424441037. The reversal of 3424441020 is 201444243.

It is a happy number.

3424441020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 51111027 + ... + 51111093.

It is an arithmetic number, because the mean of its divisors is an integer number (18232704).

Almost surely, 2^3424441020 is an apocalyptic number.

3424441020 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 3424441020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7001358336).

3424441020 is an abundant number, since it is smaller than the sum of its proper divisors (10578275652).

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

3424441020 is a wasteful number, since it uses less digits than its factorization.

3424441020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 3424441020 is about 58518.7236702921. The cubic root of 3424441020 is about 1507.2891173595.

Adding to 3424441020 its reverse (201444243), we get a palindrome (3625885263).

It can be divided in two parts, 3424 and 441020, that added together give a palindrome (444444).

The spelling of 3424441020 in words is "three billion, four hundred twenty-four million, four hundred forty-one thousand, twenty".