3670384508160 has 288 divisors, whose sum is σ = 12141236378880. Its totient is φ = 944994426880.

The previous prime is 3670384508149. The next prime is 3670384508233. The reversal of 3670384508160 is 618054830763.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93634165 + ... + 93673355.

It is an arithmetic number, because the mean of its divisors is an integer number (42157070760).

Almost surely, 2^{3670384508160} is an apocalyptic number.

3670384508160 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 3670384508160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6070618189440).

3670384508160 is an abundant number, since it is smaller than the sum of its proper divisors (8470851870720).

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

3670384508160 is an frugal number, since it uses more digits than its factorization.

3670384508160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39302 (or 39230 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 3670384508160 in words is "three trillion, six hundred seventy billion, three hundred eighty-four million, five hundred eight thousand, one hundred sixty".