3000830976000 has 3360 divisors, whose sum is σ = 13819563261504. Its totient is φ = 642318336000.

The previous prime is 3000830975899. The next prime is 3000830976067. The reversal of 3000830976000 is 6790380003.

It is a super-2 number, since 2×3000830976000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 130470911989 + ... + 130470912011.

Almost surely, 2^{3000830976000} is an apocalyptic number.

3000830976000 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 3000830976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6909781630752).

3000830976000 is an abundant number, since it is smaller than the sum of its proper divisors (10818732285504).

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

3000830976000 is a wasteful number, since it uses less digits than its factorization.

3000830976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 3000830976000 in words is "three trillion, eight hundred thirty million, nine hundred seventy-six thousand".