3198308008896 has 672 divisors, whose sum is σ = 12843851424768. Its totient is φ = 733483745280.

The previous prime is 3198308008871. The next prime is 3198308008897. The reversal of 3198308008896 is 6988008038913.

3198308008896 is a `hidden beast` number, since 319 + 8 + 308 + 0 + 0 + 8 + 8 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3198308008897) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13140660 + ... + 13381836.

It is an arithmetic number, because the mean of its divisors is an integer number (19112874144).

Almost surely, 2^{3198308008896} is an apocalyptic number.

3198308008896 is a gapful number since it is divisible by the number (36) 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 3198308008896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6421925712384).

3198308008896 is an abundant number, since it is smaller than the sum of its proper divisors (9645543415872).

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

3198308008896 is a wasteful number, since it uses less digits than its factorization.

3198308008896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241249 (or 241236 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 3198308008896 in words is "three trillion, one hundred ninety-eight billion, three hundred eight million, eight thousand, eight hundred ninety-six".