369120000 has 180 divisors, whose sum is σ = 1229200280. Its totient is φ = 98304000.

The previous prime is 369119987. The next prime is 369120019. The reversal of 369120000 is 21963.

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 19 ways as a sum of consecutive naturals, for example, 479616 + ... + 480384.

Almost surely, 2^369120000 is an apocalyptic number.

369120000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 369120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614600140).

369120000 is an abundant number, since it is smaller than the sum of its proper divisors (860080280).

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

369120000 is an frugal number, since it uses more digits than its factorization.

369120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 369120000 is about 19212.4959336365. The cubic root of 369120000 is about 717.3358331365.

Adding to 369120000 its reverse (21963), we get a palindrome (369141963).

It can be divided in two parts, 3 and 69120000, that multiplied together give a 4-th power (207360000 = 120⁴).

The spelling of 369120000 in words is "three hundred sixty-nine million, one hundred twenty thousand".