3038055972000 has 384 divisors, whose sum is σ = 11511549923328. Its totient is φ = 686044800000.

The previous prime is 3038055971987. The next prime is 3038055972023. The reversal of 3038055972000 is 2795508303.

3038055972000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6754125 + ... + 7189875.

It is an arithmetic number, because the mean of its divisors is an integer number (29977994592).

Almost surely, 2^{3038055972000} is an apocalyptic number.

3038055972000 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 3038055972000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5755774961664).

3038055972000 is an abundant number, since it is smaller than the sum of its proper divisors (8473493951328).

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

3038055972000 is a wasteful number, since it uses less digits than its factorization.

3038055972000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435869 (or 435851 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The spelling of 3038055972000 in words is "three trillion, thirty-eight billion, fifty-five million, nine hundred seventy-two thousand".