3480729011312 has 80 divisors (see below), whose sum is σ = 7816631703552. Its totient is φ = 1470589585920.

The previous prime is 3480729011311. The next prime is 3480729011339. The reversal of 3480729011312 is 2131109270843.

It is a happy number.

3480729011312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3480729011312² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3480729011312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3480729011311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154392713 + ... + 154415255.

Almost surely, 2^{3480729011312} is an apocalyptic number.

It is an amenable number.

3480729011312 is an abundant number, since it is smaller than the sum of its proper divisors (4335902692240).

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

3480729011312 is a wasteful number, since it uses less digits than its factorization.

3480729011312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42046 (or 42040 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The spelling of 3480729011312 in words is "three trillion, four hundred eighty billion, seven hundred twenty-nine million, eleven thousand, three hundred twelve".