382853791320 has 1536 divisors, whose sum is σ = 1635206952960. Its totient is φ = 71034163200.

The previous prime is 382853791319. The next prime is 382853791367. The reversal of 382853791320 is 23197358283.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5392306885 + ... + 5392306955.

It is an arithmetic number, because the mean of its divisors is an integer number (1064587860).

Almost surely, 2^382853791320 is an apocalyptic number.

382853791320 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 382853791320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817603476480).

382853791320 is an abundant number, since it is smaller than the sum of its proper divisors (1252353161640).

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

382853791320 is a wasteful number, since it uses less digits than its factorization.

382853791320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 382853791320 in words is "three hundred eighty-two billion, eight hundred fifty-three million, seven hundred ninety-one thousand, three hundred twenty".