36363636 has 72 divisors (see below), whose sum is σ = 94787784. Its totient is φ = 11750400.

The previous prime is 36363631. The next prime is 36363641. The reversal of 36363636 is 63636363.

It is an interprime number because it is at equal distance from previous prime (36363631) and next prime (36363641).

It can be written as a sum of positive squares in 4 ways, for example, as 17388900 + 18974736 = 4170^2 + 4356^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between odd and even.

36363636 is an undulating number in base 10.

36363636 is a modest number, since divided by 363636 gives 36 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 36363636.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36363631) by changing a digit.

It is a Kaprekar number, because its square (1322314023140496) can be partitioned into two parts whose sum is 36363636.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 265360 + ... + 265496.

It is an arithmetic number, because the mean of its divisors is an integer number (1316497).

Almost surely, 2^36363636 is an apocalyptic number.

36363636 is a gapful number since it is divisible by the number (36) 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 36363636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47393892).

36363636 is an abundant number, since it is smaller than the sum of its proper divisors (58424148).

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

36363636 is a wasteful number, since it uses less digits than its factorization.

36363636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 316 counting only the distinct ones).

The product of its digits is 104976, while the sum is 36.

The square root of 36363636 is about 6030.2268614041. The cubic root of 36363636 is about 331.3007613676.

36363636 divided by its sum of digits (36) gives a palindrome (1010101).

Adding to 36363636 its reverse (63636363), we get a palindrome (99999999).

The spelling of 36363636 in words is "thirty-six million, three hundred sixty-three thousand, six hundred thirty-six".