384688616 has 96 divisors (see below), whose sum is σ = 830088000. Its totient is φ = 166712832.

The previous prime is 384688613. The next prime is 384688669. The reversal of 384688616 is 616886483.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384688613) 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, 2767475 + ... + 2767613.

It is an arithmetic number, because the mean of its divisors is an integer number (8646750).

Almost surely, 2^384688616 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 384688616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415044000).

384688616 is an abundant number, since it is smaller than the sum of its proper divisors (445399384).

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

384688616 is a wasteful number, since it uses less digits than its factorization.

384688616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 266 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 50.

The square root of 384688616 is about 19613.4804662508. The cubic root of 384688616 is about 727.2824562600.

The spelling of 384688616 in words is "three hundred eighty-four million, six hundred eighty-eight thousand, six hundred sixteen".