36384400 has 60 divisors (see below), whose sum is σ = 94151092. Its totient is φ = 13432320.

The previous prime is 36384391. The next prime is 36384427. The reversal of 36384400 is 448363.

It can be written as a sum of positive squares in 6 ways, for example, as 6310144 + 30074256 = 2512^2 + 5484^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1702 + ... + 8698.

Almost surely, 2^36384400 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 36384400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47075546).

36384400 is an abundant number, since it is smaller than the sum of its proper divisors (57766692).

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

36384400 is a wasteful number, since it uses less digits than its factorization.

36384400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7028 (or 7017 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 36384400 is about 6031.9482756403. The cubic root of 36384400 is about 331.3638080523.

It can be divided in two parts, 36 and 384400, that multiplied together give a square (13838400 = 3720²).

The spelling of 36384400 in words is "thirty-six million, three hundred eighty-four thousand, four hundred".