385742784 has 112 divisors (see below), whose sum is σ = 1235098368. Its totient is φ = 103723008.

The previous prime is 385742783. The next prime is 385742837. The reversal of 385742784 is 487247583.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385742783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14407 + ... + 31289.

It is an arithmetic number, because the mean of its divisors is an integer number (11027664).

Almost surely, 2^385742784 is an apocalyptic number.

385742784 is a gapful number since it is divisible by the number (34) 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 385742784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617549184).

385742784 is an abundant number, since it is smaller than the sum of its proper divisors (849355584).

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

385742784 is a wasteful number, since it uses less digits than its factorization.

385742784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16922 (or 16912 counting only the distinct ones).

The product of its digits is 1505280, while the sum is 48.

The square root of 385742784 is about 19640.3356386799. The cubic root of 385742784 is about 727.9461780441.

385742784 divided by its sum of digits (48) gives a palindrome (8036308).

The spelling of 385742784 in words is "three hundred eighty-five million, seven hundred forty-two thousand, seven hundred eighty-four".