382608000 has 192 divisors, whose sum is σ = 1374558120. Its totient is φ = 101990400.

The previous prime is 382607999. The next prime is 382608029. The reversal of 382608000 is 806283.

It can be written as a sum of positive squares in 4 ways, for example, as 139996224 + 242611776 = 11832^2 + 15576^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142672 + ... + 145328.

Almost surely, 2^382608000 is an apocalyptic number.

382608000 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 382608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687279060).

382608000 is an abundant number, since it is smaller than the sum of its proper divisors (991950120).

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

382608000 is a wasteful number, since it uses less digits than its factorization.

382608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2692 (or 2667 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 382608000 is about 19560.3680946960. The cubic root of 382608000 is about 725.9688987883.

The spelling of 382608000 in words is "three hundred eighty-two million, six hundred eight thousand".