385611040 has 96 divisors (see below), whose sum is σ = 954056880. Its totient is φ = 147124224.

The previous prime is 385610977. The next prime is 385611043. The reversal of 385611040 is 40116583.

It can be written as a sum of positive squares in 8 ways, for example, as 373416976 + 12194064 = 19324^2 + 3492^2 .

It is not an unprimeable number, because it can be changed into a prime (385611043) 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 15 ways as a sum of consecutive naturals, for example, 313146 + ... + 314374.

Almost surely, 2^385611040 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 385611040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477028440).

385611040 is an abundant number, since it is smaller than the sum of its proper divisors (568445840).

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

385611040 is a wasteful number, since it uses less digits than its factorization.

385611040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 385611040 is about 19636.9814380928. The cubic root of 385611040 is about 727.8632959913.

It can be divided in two parts, 38561 and 1040, that added together give a square (39601 = 199²).

The spelling of 385611040 in words is "three hundred eighty-five million, six hundred eleven thousand, forty".