3408689064960 has 1056 divisors, whose sum is σ = 12622785215040. Its totient is φ = 849006821376.

The previous prime is 3408689064959. The next prime is 3408689064961. The reversal of 3408689064960 is 694609868043.

3408689064960 is a `hidden beast` number, since 3 + 408 + 6 + 89 + 0 + 64 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3408689064959) and next prime (3408689064961).

It is a super-2 number, since 2×3408689064960² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3408689064961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7872260904 + ... + 7872261336.

It is an arithmetic number, because the mean of its divisors is an integer number (11953395090).

Almost surely, 2^{3408689064960} is an apocalyptic number.

3408689064960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3408689064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6311392607520).

3408689064960 is an abundant number, since it is smaller than the sum of its proper divisors (9214096150080).

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

3408689064960 is a wasteful number, since it uses less digits than its factorization.

3408689064960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 3408689064960 in words is "three trillion, four hundred eight billion, six hundred eighty-nine million, sixty-four thousand, nine hundred sixty".