382032367920 has 320 divisors, whose sum is σ = 1529366400000. Its totient is φ = 85841455104.

The previous prime is 382032367903. The next prime is 382032367931. The reversal of 382032367920 is 29763230283.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 677956 + ... + 1106204.

It is an arithmetic number, because the mean of its divisors is an integer number (4779270000).

Almost surely, 2^382032367920 is an apocalyptic number.

382032367920 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 382032367920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764683200000).

382032367920 is an abundant number, since it is smaller than the sum of its proper divisors (1147334032080).

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

382032367920 is a wasteful number, since it uses less digits than its factorization.

382032367920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428337 (or 428325 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 382032367920 in words is "three hundred eighty-two billion, thirty-two million, three hundred sixty-seven thousand, nine hundred twenty".