36004138200 has 192 divisors, whose sum is σ = 124165044000. Its totient is φ = 9589432320.

The previous prime is 36004138193. The next prime is 36004138201. The reversal of 36004138200 is 283140063.

It is a happy number.

36004138200 is a `hidden beast` number, since 3 + 600 + 4 + 1 + 38 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36004138201) 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 47 ways as a sum of consecutive naturals, for example, 5013012 + ... + 5020188.

Almost surely, 2^36004138200 is an apocalyptic number.

36004138200 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 36004138200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62082522000).

36004138200 is an abundant number, since it is smaller than the sum of its proper divisors (88160905800).

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

36004138200 is a wasteful number, since it uses less digits than its factorization.

36004138200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8131 (or 8116 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 36004138200 its reverse (283140063), we get a palindrome (36287278263).

The spelling of 36004138200 in words is "thirty-six billion, four million, one hundred thirty-eight thousand, two hundred".