385000032 has 48 divisors (see below), whose sum is σ = 1016254512. Its totient is φ = 127618560.

The previous prime is 384999997. The next prime is 385000043. The reversal of 385000032 is 230000583.

385000032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 384999972 and 385000008.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6298 + ... + 28454.

It is an arithmetic number, because the mean of its divisors is an integer number (21171969).

Almost surely, 2^385000032 is an apocalyptic number.

385000032 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 385000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508127256).

385000032 is an abundant number, since it is smaller than the sum of its proper divisors (631254480).

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

385000032 is a wasteful number, since it uses less digits than its factorization.

385000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22351 (or 22343 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 385000032 is about 19621.4176857841. The cubic root of 385000032 is about 727.4786550344.

The spelling of 385000032 in words is "three hundred eighty-five million, thirty-two", and thus it is an aban number.