387919872 has 156 divisors (see below), whose sum is σ = 1188350280. Its totient is φ = 121503744.

The previous prime is 387919871. The next prime is 387919897. The reversal of 387919872 is 278919783.

387919872 is a `hidden beast` number, since 387 + 9 + 198 + 72 = 666.

It is a Smith number, since the sum of its digits (54) 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 (387919871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 626379 + ... + 626997.

It is an arithmetic number, because the mean of its divisors is an integer number (7617630).

Almost surely, 2^387919872 is an apocalyptic number.

387919872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387919872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594175140).

387919872 is an abundant number, since it is smaller than the sum of its proper divisors (800430408).

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

387919872 is a wasteful number, since it uses less digits than its factorization.

387919872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 641 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 54.

The square root of 387919872 is about 19695.6815571333. The cubic root of 387919872 is about 729.3130912533.

The spelling of 387919872 in words is "three hundred eighty-seven million, nine hundred nineteen thousand, eight hundred seventy-two".