36185952 has 48 divisors (see below), whose sum is σ = 103626432. Its totient is φ = 10965120.

The previous prime is 36185927. The next prime is 36185953. The reversal of 36185952 is 25958163.

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

It is a self number, because there is not a number n which added to its sum of digits gives 36185952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36185953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16078 + ... + 18189.

It is an arithmetic number, because the mean of its divisors is an integer number (2158884).

Almost surely, 2^36185952 is an apocalyptic number.

36185952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

36185952 is an abundant number, since it is smaller than the sum of its proper divisors (67440480).

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

36185952 is a wasteful number, since it uses less digits than its factorization.

36185952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34291 (or 34283 counting only the distinct ones).

The product of its digits is 64800, while the sum is 39.

The square root of 36185952 is about 6015.4760410129. The cubic root of 36185952 is about 330.7602673224.

The spelling of 36185952 in words is "thirty-six million, one hundred eighty-five thousand, nine hundred fifty-two".