385734336 has 168 divisors, whose sum is σ = 1152784080. Its totient is φ = 113025024.

The previous prime is 385734319. The next prime is 385734337. The reversal of 385734336 is 633437583.

It is a happy number.

Its product of digits (544320) is a multiple of the sum of its prime divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385734337) 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 23 ways as a sum of consecutive naturals, for example, 5283996 + ... + 5284068.

It is an arithmetic number, because the mean of its divisors is an integer number (6861810).

Almost surely, 2^385734336 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 385734336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576392040).

385734336 is an abundant number, since it is smaller than the sum of its proper divisors (767049744).

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

385734336 is a wasteful number, since it uses less digits than its factorization.

385734336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 120 counting only the distinct ones).

The product of its digits is 544320, while the sum is 42.

The square root of 385734336 is about 19640.1205698947. The cubic root of 385734336 is about 727.9408638516.

The spelling of 385734336 in words is "three hundred eighty-five million, seven hundred thirty-four thousand, three hundred thirty-six".