369312 has 24 divisors (see below), whose sum is σ = 969696. Its totient is φ = 123072.

The previous prime is 369301. The next prime is 369319. The reversal of 369312 is 213963.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 369312.

It is not an unprimeable number, because it can be changed into a prime (369319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1828 + ... + 2019.

It is an arithmetic number, because the mean of its divisors is an integer number (40404).

2³⁶⁹³¹² is an apocalyptic number.

369312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

369312 is an abundant number, since it is smaller than the sum of its proper divisors (600384).

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

369312 is a wasteful number, since it uses less digits than its factorization.

369312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3860 (or 3852 counting only the distinct ones).

The product of its digits is 972, while the sum is 24.

The square root of 369312 is about 607.7104573726. The cubic root of 369312 is about 71.7460187102.

It can be divided in two parts, 3 and 69312, that multiplied together give a square (207936 = 456²).

The spelling of 369312 in words is "three hundred sixty-nine thousand, three hundred twelve".