3441891454848 has 1152 divisors, whose sum is σ = 13065793827840. Its totient is φ = 859067596800.

The previous prime is 3441891454843. The next prime is 3441891454973. The reversal of 3441891454848 is 8484541981443.

3441891454848 is a `hidden beast` number, since 3 + 4 + 4 + 1 + 8 + 9 + 145 + 484 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3441891454843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3137548636 + ... + 3137549732.

It is an arithmetic number, because the mean of its divisors is an integer number (11341834920).

Almost surely, 2^{3441891454848} 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 3441891454848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6532896913920).

3441891454848 is an abundant number, since it is smaller than the sum of its proper divisors (9623902372992).

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

3441891454848 is a wasteful number, since it uses less digits than its factorization.

3441891454848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1314 counting only the distinct ones).

The product of its digits is 70778880, while the sum is 63.

The spelling of 3441891454848 in words is "three trillion, four hundred forty-one billion, eight hundred ninety-one million, four hundred fifty-four thousand, eight hundred forty-eight".