382071893760 has 864 divisors, whose sum is σ = 1528327906560. Its totient is φ = 90821689344.

The previous prime is 382071893747. The next prime is 382071893783. The reversal of 382071893760 is 67398170283.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 382071893697 and 382071893706.

It is a congruent number.

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, 100464019 + ... + 100467821.

It is an arithmetic number, because the mean of its divisors is an integer number (1768898040).

Almost surely, 2^382071893760 is an apocalyptic number.

382071893760 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 382071893760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764163953280).

382071893760 is an abundant number, since it is smaller than the sum of its proper divisors (1146256012800).

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

382071893760 is a wasteful number, since it uses less digits than its factorization.

382071893760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3875 (or 3849 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 382071893760 in words is "three hundred eighty-two billion, seventy-one million, eight hundred ninety-three thousand, seven hundred sixty".