387936 has 48 divisors (see below), whose sum is σ = 1134000. Its totient is φ = 129024.

The previous prime is 387917. The next prime is 387953. The reversal of 387936 is 639783.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 3³ + 8⁵ + 9⁵ + 7⁶ + 3¹¹ + 6⁴ .

It is a self number, because there is not a number n which added to its sum of digits gives 387936.

It is a congruent number.

It is an unprimeable number.

387936 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, 640 + ... + 1088.

It is an arithmetic number, because the mean of its divisors is an integer number (23625).

2³⁸⁷⁹³⁶ is an apocalyptic number.

387936 is a gapful number since it is divisible by the number (36) 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 387936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567000).

387936 is an abundant number, since it is smaller than the sum of its proper divisors (746064).

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

387936 is a wasteful number, since it uses less digits than its factorization.

387936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 454 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 387936 is about 622.8450850733. The cubic root of 387936 is about 72.9323198322.

The spelling of 387936 in words is "three hundred eighty-seven thousand, nine hundred thirty-six".