369321984 has 96 divisors (see below), whose sum is σ = 1094184000. Its totient is φ = 123088896.

The previous prime is 369321983. The next prime is 369322001. The reversal of 369321984 is 489123963.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (369321983) 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, 51957 + ... + 58635.

It is an arithmetic number, because the mean of its divisors is an integer number (11397750).

Almost surely, 2^369321984 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 369321984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547092000).

369321984 is an abundant number, since it is smaller than the sum of its proper divisors (724862016).

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

369321984 is an equidigital number, since it uses as much as digits as its factorization.

369321984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6710 (or 6684 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 369321984 is about 19217.7517935892. The cubic root of 369321984 is about 717.4666523288.

The spelling of 369321984 in words is "three hundred sixty-nine million, three hundred twenty-one thousand, nine hundred eighty-four".