385033824 has 120 divisors (see below), whose sum is σ = 1294202448. Its totient is φ = 110004480.

The previous prime is 385033801. The next prime is 385033903. The reversal of 385033824 is 428330583.

385033824 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7534 + ... + 28754.

Almost surely, 2^385033824 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 385033824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647101224).

385033824 is an abundant number, since it is smaller than the sum of its proper divisors (909168624).

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

385033824 is a wasteful number, since it uses less digits than its factorization.

385033824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21250 (or 21233 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 385033824 is about 19622.2787667488. The cubic root of 385033824 is about 727.4999383569.

The spelling of 385033824 in words is "three hundred eighty-five million, thirty-three thousand, eight hundred twenty-four".