3543211284096 has 256 divisors, whose sum is σ = 10511467200000. Its totient is φ = 1048407183360.

The previous prime is 3543211284073. The next prime is 3543211284101. The reversal of 3543211284096 is 6904821123453.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37085475 + ... + 37180893.

It is an arithmetic number, because the mean of its divisors is an integer number (41060418750).

Almost surely, 2^{3543211284096} 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 3543211284096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5255733600000).

3543211284096 is an abundant number, since it is smaller than the sum of its proper divisors (6968255915904).

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

3543211284096 is a wasteful number, since it uses less digits than its factorization.

3543211284096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95655 (or 95643 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 3543211284096 in words is "three trillion, five hundred forty-three billion, two hundred eleven million, two hundred eighty-four thousand, ninety-six".