3227161667184 has 960 divisors, whose sum is σ = 12103438663680. Its totient is φ = 809541319680.

The previous prime is 3227161667161. The next prime is 3227161667189. The reversal of 3227161667184 is 4817661617223.

3227161667184 is a `hidden beast` number, since 3 + 2 + 2 + 7 + 1 + 616 + 6 + 7 + 18 + 4 = 666.

It is a super-2 number, since 2×3227161667184² (a number of 26 digits) contains 22 as substring.

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 a self number, because there is not a number n which added to its sum of digits gives 3227161667184.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3227161667189) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 647112339 + ... + 647117325.

It is an arithmetic number, because the mean of its divisors is an integer number (12607748608).

Almost surely, 2^{3227161667184} 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 3227161667184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6051719331840).

3227161667184 is an abundant number, since it is smaller than the sum of its proper divisors (8876276996496).

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

3227161667184 is a wasteful number, since it uses less digits than its factorization.

3227161667184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5120 (or 5102 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 3227161667184 in words is "three trillion, two hundred twenty-seven billion, one hundred sixty-one million, six hundred sixty-seven thousand, one hundred eighty-four".