36738441185280 has 192 divisors, whose sum is σ = 117576696182400. Its totient is φ = 9793384611840.

The previous prime is 36738441185213. The next prime is 36738441185323. The reversal of 36738441185280 is 8258114483763.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85525276 + ... + 85953764.

It is an arithmetic number, because the mean of its divisors is an integer number (612378625950).

Almost surely, 2^{36738441185280} is an apocalyptic number.

36738441185280 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 36738441185280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58788348091200).

36738441185280 is an abundant number, since it is smaller than the sum of its proper divisors (80838254997120).

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

36738441185280 is a wasteful number, since it uses less digits than its factorization.

36738441185280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431310 (or 431290 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 60.

The spelling of 36738441185280 in words is "thirty-six trillion, seven hundred thirty-eight billion, four hundred forty-one million, one hundred eighty-five thousand, two hundred eighty".