385024752000 has 2304 divisors, whose sum is σ = 1743150689280. Its totient is φ = 84130099200.

The previous prime is 385024751941. The next prime is 385024752131. The reversal of 385024752000 is 257420583.

385024752000 is a `hidden beast` number, since 385 + 0 + 2 + 4 + 75 + 200 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 8192015977 + ... + 8192016023.

It is an arithmetic number, because the mean of its divisors is an integer number (756575820).

Almost surely, 2^385024752000 is an apocalyptic number.

385024752000 is a gapful number since it is divisible by the number (30) 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 385024752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871575344640).

385024752000 is an abundant number, since it is smaller than the sum of its proper divisors (1358125937280).

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

385024752000 is an equidigital number, since it uses as much as digits as its factorization.

385024752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 385024752000 in words is "three hundred eighty-five billion, twenty-four million, seven hundred fifty-two thousand".