36799200 has 216 divisors, whose sum is σ = 137100600. Its totient is φ = 9262080.

The previous prime is 36799199. The next prime is 36799207. The reversal of 36799200 is 299763.

36799200 is a `hidden beast` number, since 367 + 99 + 200 = 666.

It is a super-2 number, since 2×36799200² = 2708362241280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36799207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 136666 + ... + 136934.

It is an arithmetic number, because the mean of its divisors is an integer number (634725).

Almost surely, 2^36799200 is an apocalyptic number.

36799200 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 36799200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68550300).

36799200 is an abundant number, since it is smaller than the sum of its proper divisors (100301400).

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

36799200 is a wasteful number, since it uses less digits than its factorization.

36799200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 36799200 is about 6066.2344168355. The cubic root of 36799200 is about 332.6182894558.

It can be divided in two parts, 36 and 799200, that added together give a square (799236 = 894²).

The spelling of 36799200 in words is "thirty-six million, seven hundred ninety-nine thousand, two hundred".