3226688422272 has 288 divisors, whose sum is σ = 10949045847480. Its totient is φ = 909280899072.

The previous prime is 3226688422267. The next prime is 3226688422387. The reversal of 3226688422272 is 2722248866223.

3226688422272 is a `hidden beast` number, since 32 + 266 + 8 + 84 + 2 + 2 + 272 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3729183 + ... + 4512225.

Almost surely, 2^{3226688422272} is an apocalyptic number.

3226688422272 is a gapful number since it is divisible by the number (32) 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 3226688422272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5474522923740).

3226688422272 is an abundant number, since it is smaller than the sum of its proper divisors (7722357425208).

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

3226688422272 is a wasteful number, since it uses less digits than its factorization.

3226688422272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783150 (or 783128 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 54.

The spelling of 3226688422272 in words is "three trillion, two hundred twenty-six billion, six hundred eighty-eight million, four hundred twenty-two thousand, two hundred seventy-two".