3460217264064 has 336 divisors, whose sum is σ = 11335496979456. Its totient is φ = 999577497600.

The previous prime is 3460217264059. The next prime is 3460217264069. The reversal of 3460217264064 is 4604627120643.

3460217264064 is a `hidden beast` number, since 3 + 4 + 6 + 0 + 217 + 26 + 406 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3460217264059) and next prime (3460217264069).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3460217264069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13028404 + ... + 13291340.

Almost surely, 2^{3460217264064} 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 3460217264064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5667748489728).

3460217264064 is an abundant number, since it is smaller than the sum of its proper divisors (7875279715392).

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

3460217264064 is a wasteful number, since it uses less digits than its factorization.

3460217264064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263064 (or 263051 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 3460217264064 in words is "three trillion, four hundred sixty billion, two hundred seventeen million, two hundred sixty-four thousand, sixty-four".