3424133440 has 224 divisors, whose sum is σ = 10210556160. Its totient is φ = 1064779776.

The previous prime is 3424133437. The next prime is 3424133519. The reversal of 3424133440 is 443314243.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 3424133399 and 3424133408.

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, 1717084 + ... + 1719076.

It is an arithmetic number, because the mean of its divisors is an integer number (45582840).

Almost surely, 2^3424133440 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 3424133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5105278080).

3424133440 is an abundant number, since it is smaller than the sum of its proper divisors (6786422720).

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

3424133440 is a wasteful number, since it uses less digits than its factorization.

3424133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

The square root of 3424133440 is about 58516.0955635285. The cubic root of 3424133440 is about 1507.2439882552.

Adding to 3424133440 its reverse (443314243), we get a palindrome (3867447683).

The spelling of 3424133440 in words is "three billion, four hundred twenty-four million, one hundred thirty-three thousand, four hundred forty".