3640170181120 has 320 divisors, whose sum is σ = 9696287969280. Its totient is φ = 1299437568000.

The previous prime is 3640170181099. The next prime is 3640170181127. The reversal of 3640170181120 is 211810710463.

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

It is not an unprimeable number, because it can be changed into a prime (3640170181127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1865796145 + ... + 1865798095.

It is an arithmetic number, because the mean of its divisors is an integer number (30300899904).

Almost surely, 2^{3640170181120} 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 3640170181120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4848143984640).

3640170181120 is an abundant number, since it is smaller than the sum of its proper divisors (6056117788160).

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

3640170181120 is a wasteful number, since it uses less digits than its factorization.

3640170181120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3167 (or 3151 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

Adding to 3640170181120 its reverse (211810710463), we get a palindrome (3851980891583).

The spelling of 3640170181120 in words is "three trillion, six hundred forty billion, one hundred seventy million, one hundred eighty-one thousand, one hundred twenty".