3222198144 has 320 divisors, whose sum is σ = 11018937600. Its totient is φ = 924410880.

The previous prime is 3222198127. The next prime is 3222198167. The reversal of 3222198144 is 4418912223.

3222198144 is a `hidden beast` number, since 322 + 2 + 198 + 144 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 3222198099 and 3222198108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2166169 + ... + 2167655.

It is an arithmetic number, because the mean of its divisors is an integer number (34434180).

Almost surely, 2^3222198144 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 3222198144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5509468800).

3222198144 is an abundant number, since it is smaller than the sum of its proper divisors (7796739456).

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

3222198144 is a wasteful number, since it uses less digits than its factorization.

3222198144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1543 (or 1522 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 3222198144 is about 56764.4091310744. The cubic root of 3222198144 is about 1477.0121948629.

The spelling of 3222198144 in words is "three billion, two hundred twenty-two million, one hundred ninety-eight thousand, one hundred forty-four".