382609968 has 160 divisors (see below), whose sum is σ = 1133927424. Its totient is φ = 110263296.

The previous prime is 382609961. The next prime is 382609987. The reversal of 382609968 is 869906283.

It is a super-3 number, since 3×382609968³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 382609968.

It is not an unprimeable number, because it can be changed into a prime (382609961) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 760405 + ... + 760907.

Almost surely, 2^382609968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382609968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566963712).

382609968 is an abundant number, since it is smaller than the sum of its proper divisors (751317456).

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

382609968 is a wasteful number, since it uses less digits than its factorization.

382609968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The square root of 382609968 is about 19560.4184004331. The cubic root of 382609968 is about 725.9701434951.

The spelling of 382609968 in words is "three hundred eighty-two million, six hundred nine thousand, nine hundred sixty-eight".