365985312 has 216 divisors, whose sum is σ = 1230305328. Its totient is φ = 94913280.

The previous prime is 365985293. The next prime is 365985313. The reversal of 365985312 is 213589563.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (365985313) 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 35 ways as a sum of consecutive naturals, for example, 568863 + ... + 569505.

It is an arithmetic number, because the mean of its divisors is an integer number (5695858).

Almost surely, 2^365985312 is an apocalyptic number.

365985312 is a gapful number since it is divisible by the number (32) 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 365985312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615152664).

365985312 is an abundant number, since it is smaller than the sum of its proper divisors (864320016).

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

365985312 is a wasteful number, since it uses less digits than its factorization.

365985312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 666 counting only the distinct ones).

The product of its digits is 194400, while the sum is 42.

The square root of 365985312 is about 19130.7425888281. The cubic root of 365985312 is about 715.2994406523.

It can be divided in two parts, 3659853 and 12, that added together give a triangular number (3659865 = T₂₇₀₅).

The spelling of 365985312 in words is "three hundred sixty-five million, nine hundred eighty-five thousand, three hundred twelve".