369984 has 56 divisors (see below), whose sum is σ = 1024128. Its totient is φ = 117760.

The previous prime is 369983. The next prime is 369991. The reversal of 369984 is 489963.

369984 = T₅₁ + T₅₂ + ... + T₁₃₂.

It is a zygodrome in base 4.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 369984.

It is not an unprimeable number, because it can be changed into a prime (369983) by changing a digit.

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, 7849 + ... + 7895.

It is an arithmetic number, because the mean of its divisors is an integer number (18288).

2³⁶⁹⁹⁸⁴ 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 369984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512064).

369984 is an abundant number, since it is smaller than the sum of its proper divisors (654144).

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

369984 is a wasteful number, since it uses less digits than its factorization.

369984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 93 counting only the distinct ones).

The product of its digits is 46656, while the sum is 39.

The square root of 369984 is about 608.2631009687. The cubic root of 369984 is about 71.7895086871.

The spelling of 369984 in words is "three hundred sixty-nine thousand, nine hundred eighty-four".