385860384 has 144 divisors (see below), whose sum is σ = 1350603072. Its totient is φ = 101758464.

The previous prime is 385860359. The next prime is 385860421. The reversal of 385860384 is 483068583.

385860384 is a `hidden beast` number, since 38 + 5 + 8 + 603 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18847 + ... + 33569.

It is an arithmetic number, because the mean of its divisors is an integer number (9379188).

Almost surely, 2^385860384 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 385860384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675301536).

385860384 is an abundant number, since it is smaller than the sum of its proper divisors (964742688).

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

385860384 is a wasteful number, since it uses less digits than its factorization.

385860384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14759 (or 14748 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 385860384 is about 19643.3292493915. The cubic root of 385860384 is about 728.0201459626.

The spelling of 385860384 in words is "three hundred eighty-five million, eight hundred sixty thousand, three hundred eighty-four".