36283200 has 84 divisors (see below), whose sum is σ = 119054880. Its totient is φ = 9674240.

The previous prime is 36283193. The next prime is 36283207. The reversal of 36283200 is 238263.

It is an interprime number because it is at equal distance from previous prime (36283193) and next prime (36283207).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36283207) 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, 1021 + ... + 8579.

It is an arithmetic number, because the mean of its divisors is an integer number (1417320).

Almost surely, 2^36283200 is an apocalyptic number.

36283200 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 36283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59527440).

36283200 is an abundant number, since it is smaller than the sum of its proper divisors (82771680).

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

36283200 is a wasteful number, since it uses less digits than its factorization.

36283200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7584 (or 7569 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 36283200 is about 6023.5537683331. The cubic root of 36283200 is about 331.0563030396.

The spelling of 36283200 in words is "thirty-six million, two hundred eighty-three thousand, two hundred".