385632000 has 432 divisors, whose sum is σ = 1508864448. Its totient is φ = 94003200.

The previous prime is 385631993. The next prime is 385632001. The reversal of 385632000 is 236583.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385632001) 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 47 ways as a sum of consecutive naturals, for example, 3743949 + ... + 3744051.

Almost surely, 2^385632000 is an apocalyptic number.

385632000 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 385632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754432224).

385632000 is an abundant number, since it is smaller than the sum of its proper divisors (1123232448).

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

385632000 is a wasteful number, since it uses less digits than its factorization.

385632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 385632000 is about 19637.5151177536. The cubic root of 385632000 is about 727.8764834926.

Adding to 385632000 its reverse (236583), we get a palindrome (385868583).

The spelling of 385632000 in words is "three hundred eighty-five million, six hundred thirty-two thousand".