3468659335344 has 640 divisors, whose sum is σ = 12482218229760. Its totient is φ = 899353497600.

The previous prime is 3468659335301. The next prime is 3468659335409. The reversal of 3468659335344 is 4435339568643.

3468659335344 is a `hidden beast` number, since 3 + 4 + 6 + 8 + 6 + 5 + 93 + 3 + 534 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 450998539 + ... + 451006229.

It is an arithmetic number, because the mean of its divisors is an integer number (19503465984).

Almost surely, 2^{3468659335344} is an apocalyptic number.

3468659335344 is a gapful number since it is divisible by the number (34) 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 3468659335344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6241109114880).

3468659335344 is an abundant number, since it is smaller than the sum of its proper divisors (9013558894416).

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

3468659335344 is a wasteful number, since it uses less digits than its factorization.

3468659335344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8046 (or 8034 counting only the distinct ones).

The product of its digits is 335923200, while the sum is 63.

The spelling of 3468659335344 in words is "three trillion, four hundred sixty-eight billion, six hundred fifty-nine million, three hundred thirty-five thousand, three hundred forty-four".