391344 has 40 divisors (see below), whose sum is σ = 1047552. Its totient is φ = 125760.

The previous prime is 391337. The next prime is 391351. The reversal of 391344 is 443193.

391344 = 97² + 98² + ... + 127².

It is an interprime number because it is at equal distance from previous prime (391337) and next prime (391351).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1357 + ... + 1619.

2³⁹¹³⁴⁴ 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 391344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523776).

391344 is an abundant number, since it is smaller than the sum of its proper divisors (656208).

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

391344 is a wasteful number, since it uses less digits than its factorization.

391344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 299 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 391344 is about 625.5749355593. The cubic root of 391344 is about 73.1452664989.

The spelling of 391344 in words is "three hundred ninety-one thousand, three hundred forty-four".