3226819534848 has 1344 divisors, whose sum is σ = 12182535106560. Its totient is φ = 830724636672.

The previous prime is 3226819534709. The next prime is 3226819534853. The reversal of 3226819534848 is 8484359186223.

3226819534848 is a `hidden beast` number, since 3 + 2 + 2 + 6 + 8 + 19 + 534 + 84 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 95 ways as a sum of consecutive naturals, for example, 8514035523 + ... + 8514035901.

It is an arithmetic number, because the mean of its divisors is an integer number (9064386240).

Almost surely, 2^{3226819534848} 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 3226819534848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6091267553280).

3226819534848 is an abundant number, since it is smaller than the sum of its proper divisors (8955715571712).

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

3226819534848 is an equidigital number, since it uses as much as digits as its factorization.

3226819534848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 451 counting only the distinct ones).

The product of its digits is 79626240, while the sum is 63.

The spelling of 3226819534848 in words is "three trillion, two hundred twenty-six billion, eight hundred nineteen million, five hundred thirty-four thousand, eight hundred forty-eight".