387376 has 40 divisors (see below), whose sum is σ = 857088. Its totient is φ = 168000.

The previous prime is 387371. The next prime is 387397. The reversal of 387376 is 673783.

It is a d-powerful number, because it can be written as 3¹¹ + 8⁵ + 3¹¹ + 7² + 7² + 6³ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387371) by changing a digit.

387376 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5421 + ... + 5491.

2³⁸⁷³⁷⁶ 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 387376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428544).

387376 is an abundant number, since it is smaller than the sum of its proper divisors (469712).

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

387376 is a wasteful number, since it uses less digits than its factorization.

387376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 115 counting only the distinct ones).

The product of its digits is 21168, while the sum is 34.

The square root of 387376 is about 622.3953727334. The cubic root of 387376 is about 72.8972094298.

The spelling of 387376 in words is "three hundred eighty-seven thousand, three hundred seventy-six".