387107984 has 20 divisors (see below), whose sum is σ = 750329580. Its totient is φ = 193474560.

The previous prime is 387107971. The next prime is 387107989. The reversal of 387107984 is 489701783.

It can be written as a sum of positive squares in 2 ways, for example, as 375274384 + 11833600 = 19372^2 + 3440^2 .

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (387107989) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 65804 + ... + 71444.

It is an arithmetic number, because the mean of its divisors is an integer number (37516479).

Almost surely, 2^387107984 is an apocalyptic number.

It is an amenable number.

387107984 is a deficient number, since it is larger than the sum of its proper divisors (363221596).

387107984 is a wasteful number, since it uses less digits than its factorization.

387107984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9938 (or 9932 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 47.

The square root of 387107984 is about 19675.0599490827. The cubic root of 387107984 is about 728.8039361767.

The spelling of 387107984 in words is "three hundred eighty-seven million, one hundred seven thousand, nine hundred eighty-four".