3718201084416 has 1440 divisors, whose sum is σ = 14338474310160. Its totient is φ = 916190134272.

The previous prime is 3718201084379. The next prime is 3718201084421. The reversal of 3718201084416 is 6144801028173.

3718201084416 is a `hidden beast` number, since 3 + 71 + 82 + 0 + 10 + 84 + 416 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 316743840000 + 3401457244416 = 562800^2 + 1844304^2 .

It is a super-2 number, since 2×3718201084416² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13423108470 + ... + 13423108746.

Almost surely, 2^{3718201084416} is an apocalyptic number.

3718201084416 is a gapful number since it is divisible by the number (36) 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 3718201084416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7169237155080).

3718201084416 is an abundant number, since it is smaller than the sum of its proper divisors (10620273225744).

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

3718201084416 is a wasteful number, since it uses less digits than its factorization.

3718201084416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 3718201084416 in words is "three trillion, seven hundred eighteen billion, two hundred one million, eighty-four thousand, four hundred sixteen".