3457714288608 has 144 divisors (see below), whose sum is σ = 9976321345536. Its totient is φ = 1135773354240.

The previous prime is 3457714288603. The next prime is 3457714288627. The reversal of 3457714288608 is 8068824177543.

It is a happy number.

3457714288608 is a `hidden beast` number, since 3 + 4 + 5 + 7 + 7 + 14 + 2 + 8 + 8 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3457714288603) 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 23 ways as a sum of consecutive naturals, for example, 42143241 + ... + 42225207.

It is an arithmetic number, because the mean of its divisors is an integer number (69280009344).

Almost surely, 2^{3457714288608} 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 3457714288608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4988160672768).

3457714288608 is an abundant number, since it is smaller than the sum of its proper divisors (6518607056928).

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

3457714288608 is a wasteful number, since it uses less digits than its factorization.

3457714288608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84117 (or 84106 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 3457714288608 in words is "three trillion, four hundred fifty-seven billion, seven hundred fourteen million, two hundred eighty-eight thousand, six hundred eight".