36289632 has 48 divisors (see below), whose sum is σ = 96837552. Its totient is φ = 11896320.

The previous prime is 36289619. The next prime is 36289651. The reversal of 36289632 is 23698263.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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, 2758 + ... + 8954.

It is an arithmetic number, because the mean of its divisors is an integer number (2017449).

Almost surely, 2^36289632 is an apocalyptic number.

36289632 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 36289632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48418776).

36289632 is an abundant number, since it is smaller than the sum of its proper divisors (60547920).

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

36289632 is a wasteful number, since it uses less digits than its factorization.

36289632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6271 (or 6263 counting only the distinct ones).

The product of its digits is 93312, while the sum is 39.

The square root of 36289632 is about 6024.0876487647. The cubic root of 36289632 is about 331.0758642354.

The spelling of 36289632 in words is "thirty-six million, two hundred eighty-nine thousand, six hundred thirty-two".