3673218051360 has 1152 divisors, whose sum is σ = 15698036390400. Its totient is φ = 768393216000.

The previous prime is 3673218051353. The next prime is 3673218051361. The reversal of 3673218051360 is 631508123763.

3673218051360 is a `hidden beast` number, since 3 + 6 + 73 + 2 + 1 + 8 + 0 + 513 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3673218051361) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 528593166 + ... + 528600114.

It is an arithmetic number, because the mean of its divisors is an integer number (13626767700).

Almost surely, 2^{3673218051360} is an apocalyptic number.

3673218051360 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 3673218051360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7849018195200).

3673218051360 is an abundant number, since it is smaller than the sum of its proper divisors (12024818339040).

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

3673218051360 is a wasteful number, since it uses less digits than its factorization.

3673218051360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7162 (or 7151 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 3673218051360 in words is "three trillion, six hundred seventy-three billion, two hundred eighteen million, fifty-one thousand, three hundred sixty".