3480766876704 has 48 divisors (see below), whose sum is σ = 9839860212672. Its totient is φ = 1071005192448.

The previous prime is 3480766876703. The next prime is 3480766876823. The reversal of 3480766876704 is 4076786670843.

3480766876704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (3480766876703) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1394536764 + ... + 1394539259.

It is an arithmetic number, because the mean of its divisors is an integer number (204997087764).

Almost surely, 2^{3480766876704} is an apocalyptic number.

It is an amenable number.

3480766876704 is an abundant number, since it is smaller than the sum of its proper divisors (6359093335968).

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

3480766876704 is a wasteful number, since it uses less digits than its factorization.

3480766876704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2789076049 (or 2789076041 counting only the distinct ones).

The product of its (nonzero) digits is 227598336, while the sum is 66.

The spelling of 3480766876704 in words is "three trillion, four hundred eighty billion, seven hundred sixty-six million, eight hundred seventy-six thousand, seven hundred four".