36684480 has 224 divisors, whose sum is σ = 136940544. Its totient is φ = 8146944.

The previous prime is 36684469. The next prime is 36684481. The reversal of 36684480 is 8448663.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (36684481) 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 31 ways as a sum of consecutive naturals, for example, 356109 + ... + 356211.

Almost surely, 2^36684480 is an apocalyptic number.

36684480 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 36684480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68470272).

36684480 is an abundant number, since it is smaller than the sum of its proper divisors (100256064).

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

36684480 is a wasteful number, since it uses less digits than its factorization.

36684480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 173 counting only the distinct ones).

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

The square root of 36684480 is about 6056.7714171826. The cubic root of 36684480 is about 332.2722883565.

The spelling of 36684480 in words is "thirty-six million, six hundred eighty-four thousand, four hundred eighty".