3226426919424 has 400 divisors, whose sum is σ = 9908382540936. Its totient is φ = 1044497203200.

The previous prime is 3226426919411. The next prime is 3226426919431. The reversal of 3226426919424 is 4249196246223.

3226426919424 is a `hidden beast` number, since 3 + 2 + 2 + 6 + 426 + 9 + 194 + 24 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3009420013824 + 217006905600 = 1734768^2 + 465840^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1014279114 + ... + 1014282294.

Almost surely, 2^{3226426919424} 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 3226426919424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4954191270468).

3226426919424 is an abundant number, since it is smaller than the sum of its proper divisors (6681955621512).

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

3226426919424 is an equidigital number, since it uses as much as digits as its factorization.

3226426919424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3909 (or 3884 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The spelling of 3226426919424 in words is "three trillion, two hundred twenty-six billion, four hundred twenty-six million, nine hundred nineteen thousand, four hundred twenty-four".