36561888 has 96 divisors (see below), whose sum is σ = 116363520. Its totient is φ = 11076480.

The previous prime is 36561859. The next prime is 36561907. The reversal of 36561888 is 88816563.

36561888 is a `hidden beast` number, since 3 + 6 + 561 + 8 + 88 = 666.

36561888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7581 + ... + 11427.

It is an arithmetic number, because the mean of its divisors is an integer number (1212120).

Almost surely, 2^36561888 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 36561888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58181760).

36561888 is an abundant number, since it is smaller than the sum of its proper divisors (79801632).

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

36561888 is a wasteful number, since it uses less digits than its factorization.

36561888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3877 (or 3863 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 36561888 is about 6046.6427048404. The cubic root of 36561888 is about 331.9017467032.

The spelling of 36561888 in words is "thirty-six million, five hundred sixty-one thousand, eight hundred eighty-eight".