36363600 has 480 divisors, whose sum is σ = 163600640. Its totient is φ = 7464960.

The previous prime is 36363583. The next prime is 36363601. The reversal of 36363600 is 636363.

It is a super-2 number, since 2×36363600² = 2644622809920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36363601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 982782 + ... + 982818.

Almost surely, 2^36363600 is an apocalyptic number.

36363600 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 36363600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81800320).

36363600 is an abundant number, since it is smaller than the sum of its proper divisors (127237040).

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

36363600 is a wasteful number, since it uses less digits than its factorization.

36363600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The square root of 36363600 is about 6030.2238764411. The cubic root of 36363600 is about 331.3006520383.

Adding to 36363600 its reverse (636363), we get a palindrome (36999963).

It can be divided in two parts, 36363 and 600, that added together give a palindrome (36963).

The spelling of 36363600 in words is "thirty-six million, three hundred sixty-three thousand, six hundred".