36960384 has 64 divisors (see below), whose sum is σ = 101592000. Its totient is φ = 11891712.

The previous prime is 36960383. The next prime is 36960419. The reversal of 36960384 is 48306963.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (36960383) 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 7 ways as a sum of consecutive naturals, for example, 9477 + ... + 12795.

It is an arithmetic number, because the mean of its divisors is an integer number (1587375).

Almost surely, 2^36960384 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 36960384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50796000).

36960384 is an abundant number, since it is smaller than the sum of its proper divisors (64631616).

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

36960384 is a wasteful number, since it uses less digits than its factorization.

36960384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3365 (or 3353 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 36960384 is about 6079.5052430276. The cubic root of 36960384 is about 333.1032153960.

The spelling of 36960384 in words is "thirty-six million, nine hundred sixty thousand, three hundred eighty-four".