36611632 has 40 divisors (see below), whose sum is σ = 75620160. Its totient is φ = 17121600.

The previous prime is 36611629. The next prime is 36611669. The reversal of 36611632 is 23611663.

It is a self number, because there is not a number n which added to its sum of digits gives 36611632.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 24507 + ... + 25957.

It is an arithmetic number, because the mean of its divisors is an integer number (1890504).

Almost surely, 2^36611632 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 36611632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37810080).

36611632 is an abundant number, since it is smaller than the sum of its proper divisors (39008528).

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

36611632 is a wasteful number, since it uses less digits than its factorization.

36611632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561 (or 1555 counting only the distinct ones).

The product of its digits is 3888, while the sum is 28.

The square root of 36611632 is about 6050.7546636763. The cubic root of 36611632 is about 332.0522006274.

The spelling of 36611632 in words is "thirty-six million, six hundred eleven thousand, six hundred thirty-two".