36340200 has 144 divisors (see below), whose sum is σ = 131515020. Its totient is φ = 8939520.

The previous prime is 36340193. The next prime is 36340211. The reversal of 36340200 is 204363.

It can be written as a sum of positive squares in 6 ways, for example, as 1695204 + 34644996 = 1302^2 + 5886^2 .

It is a super-2 number, since 2×36340200² = 2641220272080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22624 + ... + 24176.

Almost surely, 2^36340200 is an apocalyptic number.

36340200 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 36340200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65757510).

36340200 is an abundant number, since it is smaller than the sum of its proper divisors (95174820).

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

36340200 is a wasteful number, since it uses less digits than its factorization.

36340200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 36340200 is about 6028.2833377339. The cubic root of 36340200 is about 331.2295727287.

Adding to 36340200 its reverse (204363), we get a palindrome (36544563).

The spelling of 36340200 in words is "thirty-six million, three hundred forty thousand, two hundred".