363744 has 48 divisors (see below), whose sum is σ = 1063440. Its totient is φ = 120960.

The previous prime is 363731. The next prime is 363751. The reversal of 363744 is 447363.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 13.

It is a zygodrome in base 6.

It is a congruent number.

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, 654 + ... + 1074.

It is an arithmetic number, because the mean of its divisors is an integer number (22155).

2³⁶³⁷⁴⁴ 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 363744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531720).

363744 is an abundant number, since it is smaller than the sum of its proper divisors (699696).

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

363744 is a wasteful number, since it uses less digits than its factorization.

363744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 426 counting only the distinct ones).

The product of its digits is 6048, while the sum is 27.

The square root of 363744 is about 603.1119299102. Note that the first 3 decimals coincide. The cubic root of 363744 is about 71.3836273454.

It can be divided in two parts, 363 and 744, that multiplied together give a palindrome (270072).

The spelling of 363744 in words is "three hundred sixty-three thousand, seven hundred forty-four".