387396 has 48 divisors (see below), whose sum is σ = 1068480. Its totient is φ = 120960.

The previous prime is 387371. The next prime is 387397. The reversal of 387396 is 693783.

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

It is a self number, because there is not a number n which added to its sum of digits gives 387396.

It is not an unprimeable number, because it can be changed into a prime (387397) by changing a digit.

387396 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 15 ways as a sum of consecutive naturals, for example, 1731 + ... + 1941.

It is an arithmetic number, because the mean of its divisors is an integer number (22260).

2³⁸⁷³⁹⁶ is an apocalyptic number.

387396 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 387396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534240).

387396 is an abundant number, since it is smaller than the sum of its proper divisors (681084).

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

387396 is a wasteful number, since it uses less digits than its factorization.

387396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 233 counting only the distinct ones).

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

The square root of 387396 is about 622.4114394836. The cubic root of 387396 is about 72.8984639552.

It can be divided in two parts, 3873 and 96, that added together give a square (3969 = 63²).

The spelling of 387396 in words is "three hundred eighty-seven thousand, three hundred ninety-six".