3813543016460 has 192 divisors, whose sum is σ = 8900929658880. Its totient is φ = 1366731325440.

The previous prime is 3813543016427. The next prime is 3813543016529. The reversal of 3813543016460 is 646103453183.

3813543016460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3813543016460³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 160443497 + ... + 160467263.

It is an arithmetic number, because the mean of its divisors is an integer number (46359008640).

Almost surely, 2^{3813543016460} 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 3813543016460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4450464829440).

3813543016460 is an abundant number, since it is smaller than the sum of its proper divisors (5087386642420).

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

3813543016460 is a wasteful number, since it uses less digits than its factorization.

3813543016460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24136 (or 24134 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 44.

The spelling of 3813543016460 in words is "three trillion, eight hundred thirteen billion, five hundred forty-three million, sixteen thousand, four hundred sixty".