36384480 has 144 divisors (see below), whose sum is σ = 135508464. Its totient is φ = 8816640.

The previous prime is 36384479. The next prime is 36384497. The reversal of 36384480 is 8448363.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14692 + ... + 16988.

It is an arithmetic number, because the mean of its divisors is an integer number (941031).

Almost surely, 2^36384480 is an apocalyptic number.

36384480 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 36384480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67754232).

36384480 is an abundant number, since it is smaller than the sum of its proper divisors (99123984).

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

36384480 is a wasteful number, since it uses less digits than its factorization.

36384480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2329 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 36384480 is about 6031.9549069933. The cubic root of 36384480 is about 331.3640509135.

It can be divided in two parts, 36384 and 480, that added together give a square (36864 = 192²).

The spelling of 36384480 in words is "thirty-six million, three hundred eighty-four thousand, four hundred eighty".