36813816 has 96 divisors (see below), whose sum is σ = 110379360. Its totient is φ = 11010816.

The previous prime is 36813809. The next prime is 36813841. The reversal of 36813816 is 61831863.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34101 + ... + 35163.

It is an arithmetic number, because the mean of its divisors is an integer number (1149785).

Almost surely, 2^36813816 is an apocalyptic number.

36813816 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 36813816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55189680).

36813816 is an abundant number, since it is smaller than the sum of its proper divisors (73565544).

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

36813816 is a wasteful number, since it uses less digits than its factorization.

36813816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1118 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 36813816 is about 6067.4389984573. The cubic root of 36813816 is about 332.6623203534.

The spelling of 36813816 in words is "thirty-six million, eight hundred thirteen thousand, eight hundred sixteen".