3460217401344 has 208 divisors, whose sum is σ = 10076993345664. Its totient is φ = 1047286579200.

The previous prime is 3460217401337. The next prime is 3460217401349. The reversal of 3460217401344 is 4431047120643.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3460217401349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115283299 + ... + 115313309.

Almost surely, 2^{3460217401344} 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 3460217401344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5038496672832).

3460217401344 is an abundant number, since it is smaller than the sum of its proper divisors (6616775944320).

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

3460217401344 is a wasteful number, since it uses less digits than its factorization.

3460217401344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30902 (or 30880 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The spelling of 3460217401344 in words is "three trillion, four hundred sixty billion, two hundred seventeen million, four hundred one thousand, three hundred forty-four".