385682976 has 144 divisors (see below), whose sum is σ = 1319572800. Its totient is φ = 104385024.

The previous prime is 385682971. The next prime is 385683007. The reversal of 385682976 is 679286583.

It is a happy number.

385682976 is a `hidden beast` number, since 3 + 8 + 568 + 2 + 9 + 76 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (385682971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33270 + ... + 43338.

It is an arithmetic number, because the mean of its divisors is an integer number (9163700).

Almost surely, 2^385682976 is an apocalyptic number.

385682976 is a gapful number since it is divisible by the number (36) 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 385682976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659786400).

385682976 is an abundant number, since it is smaller than the sum of its proper divisors (933889824).

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

385682976 is a wasteful number, since it uses less digits than its factorization.

385682976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10111 (or 10100 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 385682976 is about 19638.8129987533. The cubic root of 385682976 is about 727.9085543070.

The spelling of 385682976 in words is "three hundred eighty-five million, six hundred eighty-two thousand, nine hundred seventy-six".