385618752 has 112 divisors (see below), whose sum is σ = 1200424320. Its totient is φ = 120969216.

The previous prime is 385618733. The next prime is 385618757. The reversal of 385618752 is 257816583.

385618752 is a `hidden beast` number, since 3 + 8 + 561 + 87 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 385618698 and 385618707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385618757) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 22813 + ... + 35939.

Almost surely, 2^385618752 is an apocalyptic number.

385618752 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 385618752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600212160).

385618752 is an abundant number, since it is smaller than the sum of its proper divisors (814805568).

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

385618752 is a wasteful number, since it uses less digits than its factorization.

385618752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13165 (or 13149 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 385618752 is about 19637.1778013033. The cubic root of 385618752 is about 727.8681482420.

The spelling of 385618752 in words is "three hundred eighty-five million, six hundred eighteen thousand, seven hundred fifty-two".