36336400 has 30 divisors (see below), whose sum is σ = 87299162. Its totient is φ = 14534400.

The previous prime is 36336397. The next prime is 36336403. The reversal of 36336400 is 463363.

It is an interprime number because it is at equal distance from previous prime (36336397) and next prime (36336403).

It can be written as a sum of positive squares in 3 ways, for example, as 9834496 + 26501904 = 3136^2 + 5148^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (36336403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45021 + ... + 45820.

Almost surely, 2^36336400 is an apocalyptic number.

It is an amenable number.

36336400 is an abundant number, since it is smaller than the sum of its proper divisors (50962762).

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

36336400 is a wasteful number, since it uses less digits than its factorization.

36336400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90859 (or 90848 counting only the distinct ones).

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

The square root of 36336400 is about 6027.9681485555. The cubic root of 36336400 is about 331.2180270552.

Adding to 36336400 its reverse (463363), we get a palindrome (36799763).

It can be divided in two parts, 363 and 36400, that added together give a palindrome (36763).

The spelling of 36336400 in words is "thirty-six million, three hundred thirty-six thousand, four hundred".