369041920 has 120 divisors (see below), whose sum is σ = 959258916. Its totient is φ = 136101888.

The previous prime is 369041917. The next prime is 369041929. The reversal of 369041920 is 29140963.

369041920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1016064 + 368025856 = 1008^2 + 19184^2 .

It is not an unprimeable number, because it can be changed into a prime (369041929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 432214 + ... + 433066.

Almost surely, 2^369041920 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 369041920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479629458).

369041920 is an abundant number, since it is smaller than the sum of its proper divisors (590216996).

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

369041920 is an equidigital number, since it uses as much as digits as its factorization.

369041920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 369041920 is about 19210.4638153273. The cubic root of 369041920 is about 717.2852501901.

The spelling of 369041920 in words is "three hundred sixty-nine million, forty-one thousand, nine hundred twenty".