36129632 has 144 divisors (see below), whose sum is σ = 94381056. Its totient is φ = 13305600.

The previous prime is 36129631. The next prime is 36129647. The reversal of 36129632 is 23692163.

It is a Smith number, since the sum of its digits (32) 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 (32).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36129631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 840203 + ... + 840245.

It is an arithmetic number, because the mean of its divisors is an integer number (655424).

Almost surely, 2^36129632 is an apocalyptic number.

36129632 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 36129632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47190528).

36129632 is an abundant number, since it is smaller than the sum of its proper divisors (58251424).

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

36129632 is a wasteful number, since it uses less digits than its factorization.

36129632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 94 counting only the distinct ones).

The product of its digits is 11664, while the sum is 32.

The square root of 36129632 is about 6010.7929593357. The cubic root of 36129632 is about 330.5885792312.

The spelling of 36129632 in words is "thirty-six million, one hundred twenty-nine thousand, six hundred thirty-two".