36282740 has 48 divisors (see below), whose sum is σ = 83634768. Its totient is φ = 13138944.

The previous prime is 36282713. The next prime is 36282749. The reversal of 36282740 is 4728263.

It can be written as a sum of positive squares in 8 ways, for example, as 3952144 + 32330596 = 1988^2 + 5686^2 .

It is a junction number, because it is equal to n+sod(n) for n = 36282697 and 36282706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36282749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12464 + ... + 15096.

It is an arithmetic number, because the mean of its divisors is an integer number (1742391).

Almost surely, 2^36282740 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 36282740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41817384).

36282740 is an abundant number, since it is smaller than the sum of its proper divisors (47352028).

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

36282740 is a wasteful number, since it uses less digits than its factorization.

36282740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2708 (or 2706 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 36282740 is about 6023.5155847727. The cubic root of 36282740 is about 331.0549039850.

The spelling of 36282740 in words is "thirty-six million, two hundred eighty-two thousand, seven hundred forty".