387683968 has 64 divisors (see below), whose sum is σ = 894009600. Its totient is φ = 164017152.

The previous prime is 387683957. The next prime is 387683971. The reversal of 387683968 is 869386783.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68046 + ... + 73522.

It is an arithmetic number, because the mean of its divisors is an integer number (13968900).

Almost surely, 2^387683968 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 387683968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447004800).

387683968 is an abundant number, since it is smaller than the sum of its proper divisors (506325632).

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

387683968 is an equidigital number, since it uses as much as digits as its factorization.

387683968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5577 (or 5565 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 58.

The square root of 387683968 is about 19689.6919224248. The cubic root of 387683968 is about 729.1652232911.

The spelling of 387683968 in words is "three hundred eighty-seven million, six hundred eighty-three thousand, nine hundred sixty-eight".