36788256 has 168 divisors, whose sum is σ = 115683120. Its totient is φ = 11477376.

The previous prime is 36788251. The next prime is 36788273. The reversal of 36788256 is 65288763.

It is not an unprimeable number, because it can be changed into a prime (36788251) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 443191 + ... + 443273.

It is an arithmetic number, because the mean of its divisors is an integer number (688590).

Almost surely, 2^36788256 is an apocalyptic number.

36788256 is a gapful number since it is divisible by the number (36) 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 36788256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57841560).

36788256 is an abundant number, since it is smaller than the sum of its proper divisors (78894864).

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

36788256 is an equidigital number, since it uses as much as digits as its factorization.

36788256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 107 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 36788256 is about 6065.3323074668. The cubic root of 36788256 is about 332.5853128740.

The spelling of 36788256 in words is "thirty-six million, seven hundred eighty-eight thousand, two hundred fifty-six".