3424201440 has 192 divisors, whose sum is σ = 11835113472. Its totient is φ = 825292800.

The previous prime is 3424201411. The next prime is 3424201447. The reversal of 3424201440 is 441024243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3424201440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3424201447) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 953889 + ... + 957471.

It is an arithmetic number, because the mean of its divisors is an integer number (61641216).

Almost surely, 2^3424201440 is an apocalyptic number.

3424201440 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 3424201440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5917556736).

3424201440 is an abundant number, since it is smaller than the sum of its proper divisors (8410912032).

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

3424201440 is a wasteful number, since it uses less digits than its factorization.

3424201440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3793 (or 3785 counting only the distinct ones).

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

The square root of 3424201440 is about 58516.6765973598. The cubic root of 3424201440 is about 1507.2539656616.

Adding to 3424201440 its reverse (441024243), we get a palindrome (3865225683).

The spelling of 3424201440 in words is "three billion, four hundred twenty-four million, two hundred one thousand, four hundred forty".