36807380 has 48 divisors (see below), whose sum is σ = 84687120. Its totient is φ = 13375488.

The previous prime is 36807367. The next prime is 36807391. The reversal of 36807380 is 8370863.

It can be written as a sum of positive squares in 8 ways, for example, as 470596 + 36336784 = 686^2 + 6028^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 36807380.

It is a congruent number.

It is an unprimeable number.

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, 7994 + ... + 11726.

It is an arithmetic number, because the mean of its divisors is an integer number (1764315).

Almost surely, 2^36807380 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 36807380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42343560).

36807380 is an abundant number, since it is smaller than the sum of its proper divisors (47879740).

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

36807380 is a wasteful number, since it uses less digits than its factorization.

36807380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3788 (or 3786 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 36807380 is about 6066.9086032344. The cubic root of 36807380 is about 332.6429332527.

The spelling of 36807380 in words is "thirty-six million, eight hundred seven thousand, three hundred eighty".