385596288 has 576 divisors, whose sum is σ = 1523733120. Its totient is φ = 95800320.

The previous prime is 385596287. The next prime is 385596307. The reversal of 385596288 is 882695583.

385596288 is a `hidden beast` number, since 3 + 8 + 5 + 5 + 9 + 628 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385596283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16765045 + ... + 16765067.

It is an arithmetic number, because the mean of its divisors is an integer number (2645370).

Almost surely, 2^385596288 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 385596288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761866560).

385596288 is an abundant number, since it is smaller than the sum of its proper divisors (1138136832).

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

385596288 is a wasteful number, since it uses less digits than its factorization.

385596288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 46 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The square root of 385596288 is about 19636.6058166884. The cubic root of 385596288 is about 727.8540141199.

The spelling of 385596288 in words is "three hundred eighty-five million, five hundred ninety-six thousand, two hundred eighty-eight".