36728640 has 280 divisors, whose sum is σ = 141991080. Its totient is φ = 8957952.

The previous prime is 36728639. The next prime is 36728647. The reversal of 36728640 is 4682763.

36728640 is a `hidden beast` number, since 3 + 6 + 7 + 2 + 8 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1871424 + 34857216 = 1368^2 + 5904^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 36728595 and 36728604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36728647) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 336906 + ... + 337014.

It is an arithmetic number, because the mean of its divisors is an integer number (507111).

Almost surely, 2^36728640 is an apocalyptic number.

36728640 is a gapful number since it is divisible by the number (30) 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 36728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70995540).

36728640 is an abundant number, since it is smaller than the sum of its proper divisors (105262440).

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

36728640 is a wasteful number, since it uses less digits than its factorization.

36728640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 36728640 is about 6060.4158273175. The cubic root of 36728640 is about 332.4055623409.

The spelling of 36728640 in words is "thirty-six million, seven hundred twenty-eight thousand, six hundred forty".