3008378880000 has 2100 divisors, whose sum is σ = 12531004644928. Its totient is φ = 716636160000.

The previous prime is 3008378879981. The next prime is 3008378880007. The reversal of 3008378880000 is 888738003.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3008378880007) by changing a digit.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 97044479985 + ... + 97044480015.

Almost surely, 2^{3008378880000} is an apocalyptic number.

3008378880000 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 3008378880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6265502322464).

3008378880000 is an abundant number, since it is smaller than the sum of its proper divisors (9522625764928).

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

3008378880000 is an frugal number, since it uses more digits than its factorization.

3008378880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 3008378880000 in words is "three trillion, eight billion, three hundred seventy-eight million, eight hundred eighty thousand".