36824480 has 192 divisors, whose sum is σ = 112492800. Its totient is φ = 11289600.

The previous prime is 36824479. The next prime is 36824483. The reversal of 36824480 is 8442863.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 36824480.

It is not an unprimeable number, because it can be changed into a prime (36824483) 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, 603650 + ... + 603710.

It is an arithmetic number, because the mean of its divisors is an integer number (585900).

Almost surely, 2^36824480 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 36824480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56246400).

36824480 is an abundant number, since it is smaller than the sum of its proper divisors (75668320).

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

36824480 is a wasteful number, since it uses less digits than its factorization.

36824480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 36824480 is about 6068.3177240484. The cubic root of 36824480 is about 332.6944384446.

The spelling of 36824480 in words is "thirty-six million, eight hundred twenty-four thousand, four hundred eighty".