385678944 has 144 divisors (see below), whose sum is σ = 1265296032. Its totient is φ = 109154304.

The previous prime is 385678907. The next prime is 385678957. The reversal of 385678944 is 449876583.

385678944 is a `hidden beast` number, since 38 + 567 + 8 + 9 + 44 = 666.

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

It is a congruent number.

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, 226962 + ... + 228654.

It is an arithmetic number, because the mean of its divisors is an integer number (8786778).

Almost surely, 2^385678944 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 385678944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632648016).

385678944 is an abundant number, since it is smaller than the sum of its proper divisors (879617088).

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

385678944 is a wasteful number, since it uses less digits than its factorization.

385678944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1818 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 385678944 is about 19638.7103446229. The cubic root of 385678944 is about 727.9060177353.

The spelling of 385678944 in words is "three hundred eighty-five million, six hundred seventy-eight thousand, nine hundred forty-four".