382666752 has 144 divisors (see below), whose sum is σ = 1190973420. Its totient is φ = 117669888.

The previous prime is 382666747. The next prime is 382666771. The reversal of 382666752 is 257666283.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 336208896 + 46457856 = 18336^2 + 6816^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 382666698 and 382666707.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 238818 + ... + 240414.

Almost surely, 2^382666752 is an apocalyptic number.

382666752 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 382666752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595486710).

382666752 is an abundant number, since it is smaller than the sum of its proper divisors (808306668).

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

382666752 is a wasteful number, since it uses less digits than its factorization.

382666752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 1615 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 382666752 is about 19561.8698492757. The cubic root of 382666752 is about 726.0060560021.

The spelling of 382666752 in words is "three hundred eighty-two million, six hundred sixty-six thousand, seven hundred fifty-two".