3481034148768 has 384 divisors, whose sum is σ = 10526086287360. Its totient is φ = 996998266880.

The previous prime is 3481034148763. The next prime is 3481034148769. The reversal of 3481034148768 is 8678414301843.

It is not an unprimeable number, because it can be changed into a prime (3481034148763) 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 63 ways as a sum of consecutive naturals, for example, 985289530 + ... + 985293062.

It is an arithmetic number, because the mean of its divisors is an integer number (27411683040).

Almost surely, 2^{3481034148768} 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 3481034148768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5263043143680).

3481034148768 is an abundant number, since it is smaller than the sum of its proper divisors (7045052138592).

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

3481034148768 is a wasteful number, since it uses less digits than its factorization.

3481034148768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4052 (or 4044 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 57.

The spelling of 3481034148768 in words is "three trillion, four hundred eighty-one billion, thirty-four million, one hundred forty-eight thousand, seven hundred sixty-eight".