363834 has 48 divisors (see below), whose sum is σ = 884520. Its totient is φ = 107520.

The previous prime is 363833. The next prime is 363841. The reversal of 363834 is 438363.

It can be written as a sum of positive squares in 4 ways, for example, as 275625 + 88209 = 525^2 + 297^2 .

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 363798 and 363807.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 363834.

It is not an unprimeable number, because it can be changed into a prime (363833) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8854 + ... + 8894.

2³⁶³⁸³⁴ is an apocalyptic number.

363834 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 363834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442260).

363834 is an abundant number, since it is smaller than the sum of its proper divisors (520686).

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

363834 is a wasteful number, since it uses less digits than its factorization.

363834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 92 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 363834 is about 603.1865383113. The cubic root of 363834 is about 71.3895142665.

Subtracting 363834 from its reverse (438363), we obtain a square (74529 = 273²).

The spelling of 363834 in words is "three hundred sixty-three thousand, eight hundred thirty-four".