3468300329984 has 88 divisors (see below), whose sum is σ = 7926844853568. Its totient is φ = 1485819371520.

The previous prime is 3468300329971. The next prime is 3468300330031. The reversal of 3468300329984 is 4899230038643.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18046622 + ... + 18237794.

Almost surely, 2^{3468300329984} 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 3468300329984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3963422426784).

3468300329984 is an abundant number, since it is smaller than the sum of its proper divisors (4458544523584).

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

3468300329984 is a wasteful number, since it uses less digits than its factorization.

3468300329984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193731 (or 193713 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 59.

The spelling of 3468300329984 in words is "three trillion, four hundred sixty-eight billion, three hundred million, three hundred twenty-nine thousand, nine hundred eighty-four".