36400336 has 60 divisors (see below), whose sum is σ = 84922020. Its totient is φ = 15052800.

The previous prime is 36400327. The next prime is 36400337. The reversal of 36400336 is 63300463.

It can be written as a sum of positive squares in 2 ways, for example, as 30735936 + 5664400 = 5544^2 + 2380^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 36400336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36400337) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21936 + ... + 23536.

It is an arithmetic number, because the mean of its divisors is an integer number (1415367).

Almost surely, 2^36400336 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 36400336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42461010).

36400336 is an abundant number, since it is smaller than the sum of its proper divisors (48521684).

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

36400336 is a wasteful number, since it uses less digits than its factorization.

36400336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

The square root of 36400336 is about 6033.2690972639. The cubic root of 36400336 is about 331.4121789922.

Adding to 36400336 its reverse (63300463), we get a palindrome (99700799).

The spelling of 36400336 in words is "thirty-six million, four hundred thousand, three hundred thirty-six".