3341105081160 has 1024 divisors, whose sum is σ = 13148681011200. Its totient is φ = 658951372800.

The previous prime is 3341105081143. The next prime is 3341105081183. The reversal of 3341105081160 is 611805011433.

It is a Cunningham number, because it is equal to 1827869²-1.

It is a super-2 number, since 2×3341105081160² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 4964494584 + ... + 4964495256.

It is an arithmetic number, because the mean of its divisors is an integer number (12840508800).

Almost surely, 2^{3341105081160} is an apocalyptic number.

3341105081160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3341105081160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6574340505600).

3341105081160 is an abundant number, since it is smaller than the sum of its proper divisors (9807575930040).

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

3341105081160 is a wasteful number, since it uses less digits than its factorization.

3341105081160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 3341105081160 in words is "three trillion, three hundred forty-one billion, one hundred five million, eighty-one thousand, one hundred sixty".