382984504032 has 384 divisors, whose sum is σ = 1141784985600. Its totient is φ = 111588212736.

The previous prime is 382984503977. The next prime is 382984504057. The reversal of 382984504032 is 230405489283.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 445848819 + ... + 445849677.

It is an arithmetic number, because the mean of its divisors is an integer number (2973398400).

Almost surely, 2^382984504032 is an apocalyptic number.

382984504032 is a gapful number since it is divisible by the number (32) 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 382984504032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570892492800).

382984504032 is an abundant number, since it is smaller than the sum of its proper divisors (758800481568).

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

382984504032 is a wasteful number, since it uses less digits than its factorization.

382984504032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 382984504032 in words is "three hundred eighty-two billion, nine hundred eighty-four million, five hundred four thousand, thirty-two".