36861824 has 64 divisors (see below), whose sum is σ = 80784000. Its totient is φ = 16676352.

The previous prime is 36861809. The next prime is 36861833. The reversal of 36861824 is 42816863.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (38).

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 7 ways as a sum of consecutive naturals, for example, 55607 + ... + 56265.

It is an arithmetic number, because the mean of its divisors is an integer number (1262250).

Almost surely, 2^36861824 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 36861824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40392000).

36861824 is an abundant number, since it is smaller than the sum of its proper divisors (43922176).

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

36861824 is a wasteful number, since it uses less digits than its factorization.

36861824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 703 counting only the distinct ones).

The product of its digits is 55296, while the sum is 38.

The square root of 36861824 is about 6071.3939091448. The cubic root of 36861824 is about 332.8068631474.

The spelling of 36861824 in words is "thirty-six million, eight hundred sixty-one thousand, eight hundred twenty-four".