363340 has 24 divisors (see below), whose sum is σ = 785232. Its totient is φ = 141120.

The previous prime is 363329. The next prime is 363343. The reversal of 363340 is 43363.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (363343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 495 + ... + 985.

It is an arithmetic number, because the mean of its divisors is an integer number (32718).

2³⁶³³⁴⁰ 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 363340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392616).

363340 is an abundant number, since it is smaller than the sum of its proper divisors (421892).

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

363340 is a wasteful number, since it uses less digits than its factorization.

363340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

The square root of 363340 is about 602.7769073214. The cubic root of 363340 is about 71.3571896411.

It can be divided in two parts, 363 and 340, that added together give a triangular number (703 = T₃₇).

The spelling of 363340 in words is "three hundred sixty-three thousand, three hundred forty".