3198891294720 has 1280 divisors, whose sum is σ = 13257248162400. Its totient is φ = 729305579520.

The previous prime is 3198891294707. The next prime is 3198891294749. The reversal of 3198891294720 is 274921988913.

3198891294720 is a `hidden beast` number, since 3 + 198 + 8 + 91 + 294 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2481683836 + ... + 2481685124.

Almost surely, 2^{3198891294720} is an apocalyptic number.

3198891294720 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 3198891294720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6628624081200).

3198891294720 is an abundant number, since it is smaller than the sum of its proper divisors (10058356867680).

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

3198891294720 is a wasteful number, since it uses less digits than its factorization.

3198891294720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 3198891294720 in words is "three trillion, one hundred ninety-eight billion, eight hundred ninety-one million, two hundred ninety-four thousand, seven hundred twenty".