36684300 has 72 divisors (see below), whose sum is σ = 112399056. Its totient is φ = 9205760.

The previous prime is 36684281. The next prime is 36684301. The reversal of 36684300 is 348663.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (36684301) 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 23 ways as a sum of consecutive naturals, for example, 1504 + ... + 8696.

It is an arithmetic number, because the mean of its divisors is an integer number (1561098).

Almost surely, 2^36684300 is an apocalyptic number.

36684300 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 36684300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56199528).

36684300 is an abundant number, since it is smaller than the sum of its proper divisors (75714756).

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

36684300 is a wasteful number, since it uses less digits than its factorization.

36684300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7227 (or 7220 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 36684300 is about 6056.7565577626. The cubic root of 36684300 is about 332.2717449014.

It can be divided in two parts, 366 and 84300, that added together give a triangular number (84666 = T₄₁₁).

The spelling of 36684300 in words is "thirty-six million, six hundred eighty-four thousand, three hundred".