36684840 has 64 divisors (see below), whose sum is σ = 110496960. Its totient is φ = 9743360.

The previous prime is 36684833. The next prime is 36684841. The reversal of 36684840 is 4848663.

It is not an unprimeable number, because it can be changed into a prime (36684841) 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, 41200 + ... + 42080.

It is an arithmetic number, because the mean of its divisors is an integer number (1726515).

Almost surely, 2^36684840 is an apocalyptic number.

36684840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36684840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55248480).

36684840 is an abundant number, since it is smaller than the sum of its proper divisors (73812120).

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

36684840 is a wasteful number, since it uses less digits than its factorization.

36684840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 36684840 is about 6056.8011359132. The cubic root of 36684840 is about 332.2733752615.

The spelling of 36684840 in words is "thirty-six million, six hundred eighty-four thousand, eight hundred forty".