36039360 has 224 divisors, whose sum is σ = 135770112. Its totient is φ = 7925760.

The previous prime is 36039343. The next prime is 36039389. The reversal of 36039360 is 6393063.

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

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

It is an unprimeable number.

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, 208234 + ... + 208406.

Almost surely, 2^36039360 is an apocalyptic number.

36039360 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 36039360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67885056).

36039360 is an abundant number, since it is smaller than the sum of its proper divisors (99730752).

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

36039360 is a wasteful number, since it uses less digits than its factorization.

36039360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 30.

The square root of 36039360 is about 6003.2791039564. The cubic root of 36039360 is about 330.3130179641.

The spelling of 36039360 in words is "thirty-six million, thirty-nine thousand, three hundred sixty".