382820352096 has 1152 divisors, whose sum is σ = 1388349849600. Its totient is φ = 90057277440.

The previous prime is 382820352091. The next prime is 382820352107. The reversal of 382820352096 is 690253028283.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382820352091) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3946601520 + ... + 3946601616.

It is an arithmetic number, because the mean of its divisors is an integer number (1205164800).

Almost surely, 2^382820352096 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 382820352096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694174924800).

382820352096 is an abundant number, since it is smaller than the sum of its proper divisors (1005529497504).

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

382820352096 is a wasteful number, since it uses less digits than its factorization.

382820352096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 382820352096 in words is "three hundred eighty-two billion, eight hundred twenty million, three hundred fifty-two thousand, ninety-six".