3103820928000 has 1056 divisors, whose sum is σ = 12570317690112. Its totient is φ = 730718208000.

The previous prime is 3103820927947. The next prime is 3103820928071. The reversal of 3103820928000 is 8290283013.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 344443495 + ... + 344452505.

Almost surely, 2^{3103820928000} is an apocalyptic number.

3103820928000 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 3103820928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6285158845056).

3103820928000 is an abundant number, since it is smaller than the sum of its proper divisors (9466496762112).

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

3103820928000 is a wasteful number, since it uses less digits than its factorization.

3103820928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9088 (or 9057 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 3103820928000 in words is "three trillion, one hundred three billion, eight hundred twenty million, nine hundred twenty-eight thousand".