36380 has 24 divisors (see below), whose sum is σ = 81648. Its totient is φ = 13568.

The previous prime is 36373. The next prime is 36383. The reversal of 36380 is 8363.

36380 = 38² + 39² + ... + 54².

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36383) by changing a digit.

36380 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 287 + ... + 393.

It is an arithmetic number, because the mean of its divisors is an integer number (3402).

2³⁶³⁸⁰ 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 36380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40824).

36380 is an abundant number, since it is smaller than the sum of its proper divisors (45268).

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

36380 is a wasteful number, since it uses less digits than its factorization.

36380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 36380 is about 190.7354188398. The cubic root of 36380 is about 33.1350450134.

The spelling of 36380 in words is "thirty-six thousand, three hundred eighty".