387110304 has 144 divisors (see below), whose sum is σ = 1282200192. Its totient is φ = 108486144.

The previous prime is 387110303. The next prime is 387110327. The reversal of 387110304 is 403011783.

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 (387110303) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 105037 + ... + 108659.

It is an arithmetic number, because the mean of its divisors is an integer number (8904168).

Almost surely, 2^387110304 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 387110304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641100096).

387110304 is an abundant number, since it is smaller than the sum of its proper divisors (895089888).

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

387110304 is a wasteful number, since it uses less digits than its factorization.

387110304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3699 (or 3688 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 387110304 is about 19675.1189068834. The cubic root of 387110304 is about 728.8053921199.

The spelling of 387110304 in words is "three hundred eighty-seven million, one hundred ten thousand, three hundred four".