36801282 has 64 divisors (see below), whose sum is σ = 87220224. Its totient is φ = 10134720.

The previous prime is 36801251. The next prime is 36801283. The reversal of 36801282 is 28210863.

It is not an unprimeable number, because it can be changed into a prime (36801283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203232 + ... + 203412.

It is an arithmetic number, because the mean of its divisors is an integer number (1362816).

Almost surely, 2^36801282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36801282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43610112).

36801282 is an abundant number, since it is smaller than the sum of its proper divisors (50418942).

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

36801282 is a wasteful number, since it uses less digits than its factorization.

36801282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343.

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 36801282 is about 6066.4060200419. The cubic root of 36801282 is about 332.6245622209.

The spelling of 36801282 in words is "thirty-six million, eight hundred one thousand, two hundred eighty-two".