382920825084 has 576 divisors, whose sum is σ = 1155417177600. Its totient is φ = 98062368768.

The previous prime is 382920825083. The next prime is 382920825149. The reversal of 382920825084 is 480528029283.

It is a super-2 number, since 2×382920825084² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382920825083) 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, 3388679812 + ... + 3388679924.

It is an arithmetic number, because the mean of its divisors is an integer number (2005932600).

Almost surely, 2^382920825084 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 382920825084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577708588800).

382920825084 is an abundant number, since it is smaller than the sum of its proper divisors (772496352516).

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

382920825084 is a wasteful number, since it uses less digits than its factorization.

382920825084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 382920825084 in words is "three hundred eighty-two billion, nine hundred twenty million, eight hundred twenty-five thousand, eighty-four".