3480675768066 has 192 divisors, whose sum is σ = 8418990514176. Its totient is φ = 938580825600.

The previous prime is 3480675768049. The next prime is 3480675768071. The reversal of 3480675768066 is 6608675760843.

It is a junction number, because it is equal to n+sod(n) for n = 3480675767988 and 3480675768006.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 925463626 + ... + 925467386.

It is an arithmetic number, because the mean of its divisors is an integer number (43848908928).

Almost surely, 2^{3480675768066} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3480675768066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4209495257088).

3480675768066 is an abundant number, since it is smaller than the sum of its proper divisors (4938314746110).

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

3480675768066 is a wasteful number, since it uses less digits than its factorization.

3480675768066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4077 (or 3974 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 66.

The spelling of 3480675768066 in words is "three trillion, four hundred eighty billion, six hundred seventy-five million, seven hundred sixty-eight thousand, sixty-six".