3226422067200 has 900 divisors, whose sum is σ = 12342031851072. Its totient is φ = 832359628800.

The previous prime is 3226422067177. The next prime is 3226422067261. The reversal of 3226422067200 is 27602246223.

3226422067200 is a `hidden beast` number, since 3 + 2 + 2 + 642 + 2 + 0 + 6 + 7 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1028504032 + ... + 1028507168.

Almost surely, 2^{3226422067200} is an apocalyptic number.

3226422067200 is a gapful number since it is divisible by the number (30) 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 3226422067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6171015925536).

3226422067200 is an abundant number, since it is smaller than the sum of its proper divisors (9115609783872).

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

3226422067200 is an equidigital number, since it uses as much as digits as its factorization.

3226422067200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3218 (or 3178 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 3226422067200 in words is "three trillion, two hundred twenty-six billion, four hundred twenty-two million, sixty-seven thousand, two hundred".