3461368865760 has 1344 divisors, whose sum is σ = 14282885820672. Its totient is φ = 784573267968.

The previous prime is 3461368865693. The next prime is 3461368865803. The reversal of 3461368865760 is 675688631643.

3461368865760 is a `hidden beast` number, since 3 + 4 + 613 + 6 + 8 + 8 + 6 + 5 + 7 + 6 + 0 = 666.

3461368865760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1211538252 + ... + 1211541108.

It is an arithmetic number, because the mean of its divisors is an integer number (10627147188).

Almost surely, 2^{3461368865760} is an apocalyptic number.

3461368865760 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 3461368865760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7141442910336).

3461368865760 is an abundant number, since it is smaller than the sum of its proper divisors (10821516954912).

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

3461368865760 is a wasteful number, since it uses less digits than its factorization.

3461368865760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2967 (or 2944 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 3461368865760 in words is "three trillion, four hundred sixty-one billion, three hundred sixty-eight million, eight hundred sixty-five thousand, seven hundred sixty".