3541683484416 has 1296 divisors, whose sum is σ = 12827978190720. Its totient is φ = 856745164800.

The previous prime is 3541683484399. The next prime is 3541683484429. The reversal of 3541683484416 is 6144843861453.

It is a super-2 number, since 2×3541683484416² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 11536428135 + ... + 11536428441.

It is an arithmetic number, because the mean of its divisors is an integer number (9898131320).

Almost surely, 2^{3541683484416} 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 3541683484416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6413989095360).

3541683484416 is an abundant number, since it is smaller than the sum of its proper divisors (9286294706304).

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

3541683484416 is a wasteful number, since it uses less digits than its factorization.

3541683484416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 390 counting only the distinct ones).

The product of its digits is 26542080, while the sum is 57.

The spelling of 3541683484416 in words is "three trillion, five hundred forty-one billion, six hundred eighty-three million, four hundred eighty-four thousand, four hundred sixteen".