36104832 has 128 divisors (see below), whose sum is σ = 110323200. Its totient is φ = 11612160.

The previous prime is 36104813. The next prime is 36104867. The reversal of 36104832 is 23840163.

It is a happy number.

36104832 is a `hidden beast` number, since 3 + 610 + 48 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 36104796 and 36104805.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106968 + ... + 107304.

It is an arithmetic number, because the mean of its divisors is an integer number (861900).

Almost surely, 2^36104832 is an apocalyptic number.

36104832 is a gapful number since it is divisible by the number (32) 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 36104832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55161600).

36104832 is an abundant number, since it is smaller than the sum of its proper divisors (74218368).

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

36104832 is a wasteful number, since it uses less digits than its factorization.

36104832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 36104832 is about 6008.7296494351. The cubic root of 36104832 is about 330.5129213579.

Adding to 36104832 its reverse (23840163), we get a palindrome (59944995).

The spelling of 36104832 in words is "thirty-six million, one hundred four thousand, eight hundred thirty-two".