3854388142080 has 1344 divisors, whose sum is σ = 16570079705088. Its totient is φ = 808577925120.

The previous prime is 3854388142001. The next prime is 3854388142127. The reversal of 3854388142080 is 802418834583.

3854388142080 is a `hidden beast` number, since 3 + 8 + 54 + 388 + 1 + 4 + 208 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1798593489 + ... + 1798595631.

It is an arithmetic number, because the mean of its divisors is an integer number (12328928352).

Almost surely, 2^{3854388142080} is an apocalyptic number.

3854388142080 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 3854388142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8285039852544).

3854388142080 is an abundant number, since it is smaller than the sum of its proper divisors (12715691563008).

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

3854388142080 is a wasteful number, since it uses less digits than its factorization.

3854388142080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2245 (or 2218 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 3854388142080 in words is "three trillion, eight hundred fifty-four billion, three hundred eighty-eight million, one hundred forty-two thousand, eighty".