369786880 has 128 divisors (see below), whose sum is σ = 926402760. Its totient is φ = 141557760.

The previous prime is 369786871. The next prime is 369786881. The reversal of 369786880 is 88687963.

369786880 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 4 ways, for example, as 272646144 + 97140736 = 16512^2 + 9856^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (369786881) 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, 6062050 + ... + 6062110.

Almost surely, 2^369786880 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 369786880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463201380).

369786880 is an abundant number, since it is smaller than the sum of its proper divisors (556615880).

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

369786880 is an frugal number, since it uses more digits than its factorization.

369786880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 55.

The square root of 369786880 is about 19229.8434731019. The cubic root of 369786880 is about 717.7675708899.

The spelling of 369786880 in words is "three hundred sixty-nine million, seven hundred eighty-six thousand, eight hundred eighty".