3007087296000 has 1280 divisors, whose sum is σ = 11066020872192. Its totient is φ = 721158144000.

The previous prime is 3007087295981. The next prime is 3007087296001. The reversal of 3007087296000 is 6927807003.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3007087296001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11433791869 + ... + 11433792131.

Almost surely, 2^{3007087296000} is an apocalyptic number.

3007087296000 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 3007087296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5533010436096).

3007087296000 is an abundant number, since it is smaller than the sum of its proper divisors (8058933576192).

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

3007087296000 is a wasteful number, since it uses less digits than its factorization.

3007087296000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The spelling of 3007087296000 in words is "three trillion, seven billion, eighty-seven million, two hundred ninety-six thousand".