3226966003404 has 432 divisors, whose sum is σ = 10238629093056. Its totient is φ = 848310312960.

The previous prime is 3226966003357. The next prime is 3226966003423. The reversal of 3226966003404 is 4043006696223.

3226966003404 is a `hidden beast` number, since 3 + 2 + 2 + 6 + 9 + 6 + 600 + 34 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3226966003404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 792280312 + ... + 792284384.

It is an arithmetic number, because the mean of its divisors is an integer number (23700530308).

Almost surely, 2^{3226966003404} is an apocalyptic number.

3226966003404 is a gapful number since it is divisible by the number (34) 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 3226966003404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5119314546528).

3226966003404 is an abundant number, since it is smaller than the sum of its proper divisors (7011663089652).

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

3226966003404 is a wasteful number, since it uses less digits than its factorization.

3226966003404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4958 (or 4942 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 3226966003404 in words is "three trillion, two hundred twenty-six billion, nine hundred sixty-six million, three thousand, four hundred four".