3198438144 has 576 divisors, whose sum is σ = 11302502400. Its totient is φ = 881971200.

The previous prime is 3198438109. The next prime is 3198438151. The reversal of 3198438144 is 4418348913.

It is a tau number, because it is divible by the number of its divisors (576).

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 3198438144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54210787 + ... + 54210845.

It is an arithmetic number, because the mean of its divisors is an integer number (19622400).

Almost surely, 2^3198438144 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 3198438144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5651251200).

3198438144 is an abundant number, since it is smaller than the sum of its proper divisors (8104064256).

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

3198438144 is a wasteful number, since it uses less digits than its factorization.

3198438144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 129 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 3198438144 is about 56554.7358229176. The cubic root of 3198438144 is about 1473.3728134945.

The spelling of 3198438144 in words is "three billion, one hundred ninety-eight million, four hundred thirty-eight thousand, one hundred forty-four".