387584768 has 144 divisors (see below), whose sum is σ = 880800480. Its totient is φ = 169279488.

The previous prime is 387584761. The next prime is 387584779. The reversal of 387584768 is 867485783.

It is a happy number.

It is a super-2 number, since 2×387584768² = 300443904771227648, which contains 22 as substring.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

Its product of digits (9031680) is a multiple of the sum of its prime divisors (168).

It is not an unprimeable number, because it can be changed into a prime (387584761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4669655 + ... + 4669737.

It is an arithmetic number, because the mean of its divisors is an integer number (6116670).

Almost surely, 2^387584768 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 387584768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440400240).

387584768 is an abundant number, since it is smaller than the sum of its proper divisors (493215712).

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

387584768 is a wasteful number, since it uses less digits than its factorization.

387584768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 168 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 56.

The square root of 387584768 is about 19687.1726766440. The cubic root of 387584768 is about 729.1030254130.

The spelling of 387584768 in words is "three hundred eighty-seven million, five hundred eighty-four thousand, seven hundred sixty-eight".