382095681984 has 168 divisors, whose sum is σ = 1103191596000. Its totient is φ = 126440146944.

The previous prime is 382095681973. The next prime is 382095682051. The reversal of 382095681984 is 489186590283.

382095681984 is a `hidden beast` number, since 38 + 20 + 9 + 568 + 19 + 8 + 4 = 666.

It is a super-2 number, since 2×382095681984² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47349502 + ... + 47357570.

Almost surely, 2^382095681984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382095681984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551595798000).

382095681984 is an abundant number, since it is smaller than the sum of its proper divisors (721095914016).

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

382095681984 is a wasteful number, since it uses less digits than its factorization.

382095681984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8675 (or 8662 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 382095681984 in words is "three hundred eighty-two billion, ninety-five million, six hundred eighty-one thousand, nine hundred eighty-four".