3098969448480 has 960 divisors, whose sum is σ = 11429599813632. Its totient is φ = 790091366400.

The previous prime is 3098969448437. The next prime is 3098969448499. The reversal of 3098969448480 is 848449698903.

3098969448480 is a `hidden beast` number, since 3 + 0 + 9 + 8 + 9 + 69 + 4 + 484 + 80 = 666.

It is a super-2 number, since 2×3098969448480² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3098969448399 and 3098969448408.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9195754872 + ... + 9195755208.

Almost surely, 2^{3098969448480} is an apocalyptic number.

3098969448480 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 3098969448480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5714799906816).

3098969448480 is an abundant number, since it is smaller than the sum of its proper divisors (8330630365152).

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

3098969448480 is a wasteful number, since it uses less digits than its factorization.

3098969448480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 429981696, while the sum is 72.

The spelling of 3098969448480 in words is "three trillion, ninety-eight billion, nine hundred sixty-nine million, four hundred forty-eight thousand, four hundred eighty".