387816 has 64 divisors (see below), whose sum is σ = 1149120. Its totient is φ = 107520.

The previous prime is 387799. The next prime is 387839. The reversal of 387816 is 618783.

It is a super-3 number, since 3×387816³ = 174984033342463488, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3376 + ... + 3488.

It is an arithmetic number, because the mean of its divisors is an integer number (17955).

2³⁸⁷⁸¹⁶ 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 387816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574560).

387816 is an abundant number, since it is smaller than the sum of its proper divisors (761304).

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

387816 is a wasteful number, since it uses less digits than its factorization.

387816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 142 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 387816 is about 622.7487454825. The cubic root of 387816 is about 72.9247990204.

Subtracting from 387816 its sum of digits (33), we obtain a palindrome (387783).

The spelling of 387816 in words is "three hundred eighty-seven thousand, eight hundred sixteen".