387296 has 72 divisors (see below), whose sum is σ = 1005480. Its totient is φ = 145152.

The previous prime is 387281. The next prime is 387307. The reversal of 387296 is 692783.

387296 = 35³ + 36³ + ... + 41³.

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

Its product of digits (18144) is a multiple of the sum of its prime factors (56).

It is a congruent number.

It is an unprimeable number.

387296 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 11 ways as a sum of consecutive naturals, for example, 20375 + ... + 20393.

It is an arithmetic number, because the mean of its divisors is an integer number (13965).

2³⁸⁷²⁹⁶ 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 387296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502740).

387296 is an abundant number, since it is smaller than the sum of its proper divisors (618184).

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

387296 is a wasteful number, since it uses less digits than its factorization.

387296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 41 counting only the distinct ones).

The product of its digits is 18144, while the sum is 35.

The square root of 387296 is about 622.3311015850. The cubic root of 387296 is about 72.8921908963.

The spelling of 387296 in words is "three hundred eighty-seven thousand, two hundred ninety-six".