385160832 has 384 divisors, whose sum is σ = 1381161600. Its totient is φ = 104509440.

The previous prime is 385160827. The next prime is 385160849. The reversal of 385160832 is 238061583.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 6314082 + ... + 6314142.

It is an arithmetic number, because the mean of its divisors is an integer number (3596775).

Almost surely, 2^385160832 is an apocalyptic number.

385160832 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 385160832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690580800).

385160832 is an abundant number, since it is smaller than the sum of its proper divisors (996000768).

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

385160832 is an equidigital number, since it uses as much as digits as its factorization.

385160832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 385160832 is about 19625.5148212728. The cubic root of 385160832 is about 727.5799210742.

The spelling of 385160832 in words is "three hundred eighty-five million, one hundred sixty thousand, eight hundred thirty-two".