3000097984248 has 192 divisors, whose sum is σ = 8486718645600. Its totient is φ = 956484080640.

The previous prime is 3000097984237. The next prime is 3000097984267. The reversal of 3000097984248 is 8424897900003.

3000097984248 is a `hidden beast` number, since 300 + 0 + 0 + 9 + 7 + 98 + 4 + 248 = 666.

It is a super-2 number, since 2×3000097984248² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3000097984194 and 3000097984203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 336216315 + ... + 336225237.

Almost surely, 2^{3000097984248} 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 3000097984248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4243359322800).

3000097984248 is an abundant number, since it is smaller than the sum of its proper divisors (5486620661352).

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

3000097984248 is a wasteful number, since it uses less digits than its factorization.

3000097984248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11102 (or 11095 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 3000097984248 in words is "three trillion, ninety-seven million, nine hundred eighty-four thousand, two hundred forty-eight".