36861642 has 48 divisors (see below), whose sum is σ = 84040320. Its totient is φ = 12107232.

The previous prime is 36861641. The next prime is 36861679. The reversal of 36861642 is 24616863.

36861642 is a `hidden beast` number, since 3 + 6 + 8 + 6 + 1 + 642 = 666.

36861642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 36861597 and 36861606.

It is not an unprimeable number, because it can be changed into a prime (36861641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34959 + ... + 35997.

It is an arithmetic number, because the mean of its divisors is an integer number (1750840).

Almost surely, 2^36861642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36861642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42020160).

36861642 is an abundant number, since it is smaller than the sum of its proper divisors (47178678).

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

36861642 is a wasteful number, since it uses less digits than its factorization.

36861642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1117 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 36861642 is about 6071.3789208054. The cubic root of 36861642 is about 332.8063154177.

The spelling of 36861642 in words is "thirty-six million, eight hundred sixty-one thousand, six hundred forty-two".