382444947360 has 1344 divisors, whose sum is σ = 1653938092800. Its totient is φ = 81589026816.

The previous prime is 382444947343. The next prime is 382444947377. The reversal of 382444947360 is 63749444283.

382444947360 is a `hidden beast` number, since 3 + 8 + 24 + 4 + 494 + 73 + 60 = 666.

382444947360 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (382444947343) and next prime (382444947377).

It is a super-2 number, since 2×382444947360² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 382444947297 and 382444947306.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1380667542 + ... + 1380667818.

It is an arithmetic number, because the mean of its divisors is an integer number (1230608700).

Almost surely, 2^382444947360 is an apocalyptic number.

382444947360 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 382444947360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826969046400).

382444947360 is an abundant number, since it is smaller than the sum of its proper divisors (1271493145440).

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

382444947360 is a wasteful number, since it uses less digits than its factorization.

382444947360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 382444947360 in words is "three hundred eighty-two billion, four hundred forty-four million, nine hundred forty-seven thousand, three hundred sixty".