3224130420 has 288 divisors, whose sum is σ = 10925373312. Its totient is φ = 707761152.

The previous prime is 3224130379. The next prime is 3224130439. The reversal of 3224130420 is 240314223.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 95 ways as a sum of consecutive naturals, for example, 11639322 + ... + 11639598.

It is an arithmetic number, because the mean of its divisors is an integer number (37935324).

Almost surely, 2^3224130420 is an apocalyptic number.

3224130420 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 3224130420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5462686656).

3224130420 is an abundant number, since it is smaller than the sum of its proper divisors (7701242892).

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

3224130420 is a wasteful number, since it uses less digits than its factorization.

3224130420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3224130420 is about 56781.4267168411. The cubic root of 3224130420 is about 1477.3073789564.

Adding to 3224130420 its reverse (240314223), we get a palindrome (3464444643).

The spelling of 3224130420 in words is "three billion, two hundred twenty-four million, one hundred thirty thousand, four hundred twenty".