3198188448 has 540 divisors, whose sum is σ = 11927326950. Its totient is φ = 837817344.

The previous prime is 3198188447. The next prime is 3198188449. The reversal of 3198188448 is 8448818913.

3198188448 is a `hidden beast` number, since 3 + 19 + 8 + 188 + 448 = 666.

3198188448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3198188447) and next prime (3198188449).

It can be written as a sum of positive squares in 3 ways, for example, as 929762064 + 2268426384 = 30492^2 + 47628^2 .

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 junction number, because it is equal to n+sod(n) for n = 3198188394 and 3198188403.

It is not an unprimeable number, because it can be changed into a prime (3198188447) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 21464278 + ... + 21464426.

Almost surely, 2^3198188448 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 3198188448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5963663475).

3198188448 is an abundant number, since it is smaller than the sum of its proper divisors (8729138502).

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

3198188448 is a wasteful number, since it uses less digits than its factorization.

3198188448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 174 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 54.

The square root of 3198188448 is about 56552.5282193467. The cubic root of 3198188448 is about 1473.3344713563.

The spelling of 3198188448 in words is "three billion, one hundred ninety-eight million, one hundred eighty-eight thousand, four hundred forty-eight".