36273888 has 144 divisors (see below), whose sum is σ = 124225920. Its totient is φ = 9808128.

The previous prime is 36273863. The next prime is 36273899. The reversal of 36273888 is 88837263.

36273888 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 (144).

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 37831 + ... + 38777.

It is an arithmetic number, because the mean of its divisors is an integer number (862680).

Almost surely, 2^36273888 is an apocalyptic number.

36273888 is a gapful number since it is divisible by the number (38) 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 36273888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62112960).

36273888 is an abundant number, since it is smaller than the sum of its proper divisors (87952032).

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

36273888 is a wasteful number, since it uses less digits than its factorization.

36273888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 978 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 36273888 is about 6022.7807531073. The cubic root of 36273888 is about 331.0279790030.

The spelling of 36273888 in words is "thirty-six million, two hundred seventy-three thousand, eight hundred eighty-eight".