382857891840 has 624 divisors, whose sum is σ = 1449020664000. Its totient is φ = 96698105856.

The previous prime is 382857891811. The next prime is 382857891851. The reversal of 382857891840 is 48198758283.

382857891840 is a `hidden beast` number, since 3 + 8 + 2 + 8 + 578 + 9 + 18 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94554136 + ... + 94558184.

It is an arithmetic number, because the mean of its divisors is an integer number (2322148500).

Almost surely, 2^382857891840 is an apocalyptic number.

382857891840 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 382857891840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724510332000).

382857891840 is an abundant number, since it is smaller than the sum of its proper divisors (1066162772160).

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

382857891840 is an equidigital number, since it uses as much as digits as its factorization.

382857891840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4112 (or 4078 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 382857891840 in words is "three hundred eighty-two billion, eight hundred fifty-seven million, eight hundred ninety-one thousand, eight hundred forty".