385580832 has 384 divisors, whose sum is σ = 1381847040. Its totient is φ = 91238400.

The previous prime is 385580831. The next prime is 385580837. The reversal of 385580832 is 238085583.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (385580831) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3817582 + ... + 3817682.

It is an arithmetic number, because the mean of its divisors is an integer number (3598560).

Almost surely, 2^385580832 is an apocalyptic number.

385580832 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 385580832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690923520).

385580832 is an abundant number, since it is smaller than the sum of its proper divisors (996266208).

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

385580832 is a wasteful number, since it uses less digits than its factorization.

385580832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 385580832 is about 19636.2122620428. The cubic root of 385580832 is about 727.8442890419.

The spelling of 385580832 in words is "three hundred eighty-five million, five hundred eighty thousand, eight hundred thirty-two".