36384880000 has 320 divisors, whose sum is σ = 105995070720. Its totient is φ = 12176640000.

The previous prime is 36384879991. The next prime is 36384880009. The reversal of 36384880000 is 8848363.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (36384879991) and next prime (36384880009).

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×36384880000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36384880009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24079245 + ... + 24080755.

It is an arithmetic number, because the mean of its divisors is an integer number (331234596).

Almost surely, 2^36384880000 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 36384880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52997535360).

36384880000 is an abundant number, since it is smaller than the sum of its proper divisors (69610190720).

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

36384880000 is an equidigital number, since it uses as much as digits as its factorization.

36384880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 36384880000 in words is "thirty-six billion, three hundred eighty-four million, eight hundred eighty thousand".