36363816 has 80 divisors (see below), whose sum is σ = 107876340. Its totient is φ = 11404800.

The previous prime is 36363793. The next prime is 36363823. The reversal of 36363816 is 61836363.

36363816 is a `hidden beast` number, since 3 + 6 + 3 + 638 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 36360900 + 2916 = 6030^2 + 54^2 .

It is a super-2 number, since 2×36363816² = 2644654228163712, which contains 22 as substring.

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.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9366 + ... + 12666.

Almost surely, 2^36363816 is an apocalyptic number.

36363816 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 36363816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53938170).

36363816 is an abundant number, since it is smaller than the sum of its proper divisors (71512524).

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

36363816 is a wasteful number, since it uses less digits than its factorization.

36363816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3336 (or 3323 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 36363816 is about 6030.2417861973. The cubic root of 36363816 is about 331.3013080130.

The spelling of 36363816 in words is "thirty-six million, three hundred sixty-three thousand, eight hundred sixteen".