36500400 has 90 divisors (see below), whose sum is σ = 126679020. Its totient is φ = 9732480.

The previous prime is 36500393. The next prime is 36500407. The reversal of 36500400 is 400563.

It is a happy number.

36500400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (36500393) and next prime (36500407).

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (36500407) 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 17 ways as a sum of consecutive naturals, for example, 1470 + ... + 8669.

Almost surely, 2^36500400 is an apocalyptic number.

36500400 is a gapful number since it is divisible by the number (30) 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 36500400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63339510).

36500400 is an abundant number, since it is smaller than the sum of its proper divisors (90178620).

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

36500400 is a wasteful number, since it uses less digits than its factorization.

36500400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10163 (or 10149 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 36500400 is about 6041.5560909421. The cubic root of 36500400 is about 331.7155835809.

Adding to 36500400 its reverse (400563), we get a palindrome (36900963).

The spelling of 36500400 in words is "thirty-six million, five hundred thousand, four hundred".