367744 has 48 divisors (see below), whose sum is σ = 839970. Its totient is φ = 159744.

The previous prime is 367739. The next prime is 367751. The reversal of 367744 is 447763.

It can be written as a sum of positive squares in 3 ways, for example, as 238144 + 129600 = 488^2 + 360^2 .

It is an Ulam number.

Its product of digits (14112) is a multiple of the sum of its prime divisors (32).

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 21624 + ... + 21640.

367744 is a Friedman number, since it can be written as 6^7+7^3*4^4, using all its digits and the basic arithmetic operations.

2³⁶⁷⁷⁴⁴ is an apocalyptic number.

367744 is a gapful number since it is divisible by the number (34) 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 367744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419985).

367744 is an abundant number, since it is smaller than the sum of its proper divisors (472226).

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

367744 is a wasteful number, since it uses less digits than its factorization.

367744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 32 counting only the distinct ones).

The product of its digits is 14112, while the sum is 31.

The square root of 367744 is about 606.4189970639. The cubic root of 367744 is about 71.6443365320.

It can be divided in two parts, 3677 and 44, that added together give a square (3721 = 61²).

The spelling of 367744 in words is "three hundred sixty-seven thousand, seven hundred forty-four".