36390 has 16 divisors (see below), whose sum is σ = 87408. Its totient is φ = 9696.

The previous prime is 36389. The next prime is 36433. The reversal of 36390 is 9363.

Added to its reverse (9363) it gives a triangular number (45753 = T₃₀₂).

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 7 ways as a sum of consecutive naturals, for example, 577 + ... + 636.

It is an arithmetic number, because the mean of its divisors is an integer number (5463).

2³⁶³⁹⁰ is an apocalyptic number.

36390 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

36390 is an abundant number, since it is smaller than the sum of its proper divisors (51018).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43704).

36390 is a wasteful number, since it uses less digits than its factorization.

36390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223.

The product of its (nonzero) digits is 486, while the sum is 21.

The square root of 36390 is about 190.7616313623. The cubic root of 36390 is about 33.1380807482.

Adding to 36390 its reverse (9363), we get a triangular number (45753 = T₃₀₂).

The spelling of 36390 in words is "thirty-six thousand, three hundred ninety".