382896783360 has 1080 divisors, whose sum is σ = 1646360876160. Its totient is φ = 80602988544.

The previous prime is 382896783341. The next prime is 382896783427. The reversal of 382896783360 is 63387698283.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 872202021 + ... + 872202459.

Almost surely, 2^382896783360 is an apocalyptic number.

382896783360 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 382896783360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823180438080).

382896783360 is an abundant number, since it is smaller than the sum of its proper divisors (1263464092800).

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

382896783360 is a wasteful number, since it uses less digits than its factorization.

382896783360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 382896783360 in words is "three hundred eighty-two billion, eight hundred ninety-six million, seven hundred eighty-three thousand, three hundred sixty".