369480384 has 504 divisors, whose sum is σ = 1422897840. Its totient is φ = 90574848.

The previous prime is 369480373. The next prime is 369480389. The reversal of 369480384 is 483084963.

It is a tau number, because it is divible by the number of its divisors (504).

It is not an unprimeable number, because it can be changed into a prime (369480389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6971302 + ... + 6971354.

It is an arithmetic number, because the mean of its divisors is an integer number (2823210).

Almost surely, 2^369480384 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 369480384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711448920).

369480384 is an abundant number, since it is smaller than the sum of its proper divisors (1053417456).

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

369480384 is a wasteful number, since it uses less digits than its factorization.

369480384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 369480384 is about 19221.8725414565. The cubic root of 369480384 is about 717.5692100599.

The spelling of 369480384 in words is "three hundred sixty-nine million, four hundred eighty thousand, three hundred eighty-four".