3307400826688 has 112 divisors (see below), whose sum is σ = 7752870171648. Its totient is φ = 1369926144000.

The previous prime is 3307400826659. The next prime is 3307400826713. The reversal of 3307400826688 is 8866280047033.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10412298 + ... + 10725238.

It is an arithmetic number, because the mean of its divisors is an integer number (69222055104).

Almost surely, 2^{3307400826688} 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 3307400826688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3876435085824).

3307400826688 is an abundant number, since it is smaller than the sum of its proper divisors (4445469344960).

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

3307400826688 is a wasteful number, since it uses less digits than its factorization.

3307400826688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313752 (or 313742 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 55.

The spelling of 3307400826688 in words is "three trillion, three hundred seven billion, four hundred million, eight hundred twenty-six thousand, six hundred eighty-eight".