3083883788160 has 960 divisors, whose sum is σ = 13124074526640. Its totient is φ = 687672115200.

The previous prime is 3083883788123. The next prime is 3083883788221. The reversal of 3083883788160 is 618873883803.

3083883788160 is a `hidden beast` number, since 30 + 83 + 88 + 378 + 81 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 104131755 + ... + 104161365.

Almost surely, 2^{3083883788160} is an apocalyptic number.

3083883788160 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 3083883788160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6562037263320).

3083883788160 is an abundant number, since it is smaller than the sum of its proper divisors (10040190738480).

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

3083883788160 is a wasteful number, since it uses less digits than its factorization.

3083883788160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29697 (or 29669 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 3083883788160 in words is "three trillion, eighty-three billion, eight hundred eighty-three million, seven hundred eighty-eight thousand, one hundred sixty".