3417478064 has 320 divisors, whose sum is σ = 9372733440. Its totient is φ = 1164533760.

The previous prime is 3417478033. The next prime is 3417478081. The reversal of 3417478064 is 4608747143.

3417478064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43259177 + ... + 43259255.

It is an arithmetic number, because the mean of its divisors is an integer number (29289792).

Almost surely, 2^3417478064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3417478064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4686366720).

3417478064 is an abundant number, since it is smaller than the sum of its proper divisors (5955255376).

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

3417478064 is a wasteful number, since it uses less digits than its factorization.

3417478064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 44.

The square root of 3417478064 is about 58459.1999945261. The cubic root of 3417478064 is about 1506.2668279681.

The spelling of 3417478064 in words is "three billion, four hundred seventeen million, four hundred seventy-eight thousand, sixty-four".