36811104 has 72 divisors (see below), whose sum is σ = 106245720. Its totient is φ = 11151360.

The previous prime is 36811091. The next prime is 36811111. The reversal of 36811104 is 40111863.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10032 + ... + 13200.

It is an arithmetic number, because the mean of its divisors is an integer number (1475635).

Almost surely, 2^36811104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36811104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53122860).

36811104 is an abundant number, since it is smaller than the sum of its proper divisors (69434616).

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

36811104 is a wasteful number, since it uses less digits than its factorization.

36811104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3204 (or 3185 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 36811104 is about 6067.2155063093. The cubic root of 36811104 is about 332.6541512974.

Adding to 36811104 its reverse (40111863), we get a palindrome (76922967).

The spelling of 36811104 in words is "thirty-six million, eight hundred eleven thousand, one hundred four".