3083920156800 has 2304 divisors, whose sum is σ = 13797804384000. Its totient is φ = 640194969600.

The previous prime is 3083920156789. The next prime is 3083920156861. The reversal of 3083920156800 is 86510293803.

It is a happy number.

3083920156800 is a `hidden beast` number, since 3 + 0 + 83 + 9 + 2 + 0 + 1 + 568 + 0 + 0 = 666.

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

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 11464387066 + ... + 11464387334.

It is an arithmetic number, because the mean of its divisors is an integer number (5988630375).

Almost surely, 2^{3083920156800} is an apocalyptic number.

3083920156800 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 3083920156800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6898902192000).

3083920156800 is an abundant number, since it is smaller than the sum of its proper divisors (10713884227200).

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

3083920156800 is a wasteful number, since it uses less digits than its factorization.

3083920156800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 3083920156800 in words is "three trillion, eighty-three billion, nine hundred twenty million, one hundred fifty-six thousand, eight hundred".