36198400 has 144 divisors (see below), whose sum is σ = 103587120. Its totient is φ = 12288000.

The previous prime is 36198377. The next prime is 36198403. The reversal of 36198400 is 489163.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36198403) 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, 358350 + ... + 358450.

It is an arithmetic number, because the mean of its divisors is an integer number (719355).

Almost surely, 2^36198400 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 36198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51793560).

36198400 is an abundant number, since it is smaller than the sum of its proper divisors (67388720).

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

36198400 is a wasteful number, since it uses less digits than its factorization.

36198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 36198400 is about 6016.5106166282. The cubic root of 36198400 is about 330.7981902506.

The spelling of 36198400 in words is "thirty-six million, one hundred ninety-eight thousand, four hundred".