385111584 has 240 divisors, whose sum is σ = 1331890560. Its totient is φ = 107619840.

The previous prime is 385111579. The next prime is 385111607. The reversal of 385111584 is 485111583.

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 39 ways as a sum of consecutive naturals, for example, 370137 + ... + 371175.

It is an arithmetic number, because the mean of its divisors is an integer number (5549544).

Almost surely, 2^385111584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385111584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665945280).

385111584 is an abundant number, since it is smaller than the sum of its proper divisors (946778976).

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

385111584 is a wasteful number, since it uses less digits than its factorization.

385111584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1068 counting only the distinct ones).

The product of its digits is 19200, while the sum is 36.

The square root of 385111584 is about 19624.2600879626. The cubic root of 385111584 is about 727.5489094549.

Subtracting 385111584 from its reverse (485111583), we obtain a palindrome (99999999).

The spelling of 385111584 in words is "three hundred eighty-five million, one hundred eleven thousand, five hundred eighty-four".