3198603763200 has 480 divisors, whose sum is σ = 10787392598400. Its totient is φ = 835186360320.

The previous prime is 3198603763183. The next prime is 3198603763207. The reversal of 3198603763200 is 23673068913.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3198603763200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3198603763207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1259787531 + ... + 1259790069.

It is an arithmetic number, because the mean of its divisors is an integer number (22473734580).

Almost surely, 2^{3198603763200} is an apocalyptic number.

3198603763200 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 3198603763200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5393696299200).

3198603763200 is an abundant number, since it is smaller than the sum of its proper divisors (7588788835200).

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

3198603763200 is a wasteful number, since it uses less digits than its factorization.

3198603763200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3242 (or 3221 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The spelling of 3198603763200 in words is "three trillion, one hundred ninety-eight billion, six hundred three million, seven hundred sixty-three thousand, two hundred".