36796200 has 96 divisors (see below), whose sum is σ = 130378560. Its totient is φ = 8409600.

The previous prime is 36796169. The next prime is 36796213. The reversal of 36796200 is 269763.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181 + ... + 8580.

It is an arithmetic number, because the mean of its divisors is an integer number (1358110).

Almost surely, 2^36796200 is an apocalyptic number.

36796200 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 36796200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65189280).

36796200 is an abundant number, since it is smaller than the sum of its proper divisors (93582360).

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

36796200 is a wasteful number, since it uses less digits than its factorization.

36796200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8787 (or 8778 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 36796200 is about 6065.9871414305. The cubic root of 36796200 is about 332.6092504732.

The spelling of 36796200 in words is "thirty-six million, seven hundred ninety-six thousand, two hundred".