3226421440 has 168 divisors, whose sum is σ = 8537387040. Its totient is φ = 1160417280.

The previous prime is 3226421437. The next prime is 3226421453. The reversal of 3226421440 is 441246223.

It is a junction number, because it is equal to n+sod(n) for n = 3226421399 and 3226421408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3987756 + ... + 3988564.

It is an arithmetic number, because the mean of its divisors is an integer number (50817780).

Almost surely, 2^3226421440 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 3226421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4268693520).

3226421440 is an abundant number, since it is smaller than the sum of its proper divisors (5310965600).

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

3226421440 is a wasteful number, since it uses less digits than its factorization.

3226421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 3226421440 is about 56801.5971606433. The cubic root of 3226421440 is about 1477.6572137913.

Adding to 3226421440 its reverse (441246223), we get a palindrome (3667667663).

The spelling of 3226421440 in words is "three billion, two hundred twenty-six million, four hundred twenty-one thousand, four hundred forty".