369728320 has 224 divisors, whose sum is σ = 1015934976. Its totient is φ = 127180800.

The previous prime is 369728299. The next prime is 369728323. The reversal of 369728320 is 23827963.

It is a super-2 number, since 2×369728320² = 273398061220044800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (369728323) 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 31 ways as a sum of consecutive naturals, for example, 6061090 + ... + 6061150.

It is an arithmetic number, because the mean of its divisors is an integer number (4535424).

Almost surely, 2^369728320 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 369728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507967488).

369728320 is an abundant number, since it is smaller than the sum of its proper divisors (646206656).

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

369728320 is a wasteful number, since it uses less digits than its factorization.

369728320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 369728320 is about 19228.3207795169. The cubic root of 369728320 is about 717.7296799766.

The spelling of 369728320 in words is "three hundred sixty-nine million, seven hundred twenty-eight thousand, three hundred twenty".