3478404406560 has 768 divisors, whose sum is σ = 11752490631168. Its totient is φ = 863480217600.

The previous prime is 3478404406523. The next prime is 3478404406601. The reversal of 3478404406560 is 656044048743.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11113112964 + ... + 11113113276.

It is an arithmetic number, because the mean of its divisors is an integer number (15302722176).

Almost surely, 2^{3478404406560} is an apocalyptic number.

3478404406560 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 3478404406560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5876245315584).

3478404406560 is an abundant number, since it is smaller than the sum of its proper divisors (8274086224608).

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

3478404406560 is a wasteful number, since it uses less digits than its factorization.

3478404406560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 51.

The spelling of 3478404406560 in words is "three trillion, four hundred seventy-eight billion, four hundred four million, four hundred six thousand, five hundred sixty".