3460484664 has 288 divisors, whose sum is σ = 11831339520. Its totient is φ = 905651712.

The previous prime is 3460484617. The next prime is 3460484689. The reversal of 3460484664 is 4664840643.

3460484664 is a `hidden beast` number, since 34 + 604 + 8 + 4 + 6 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9035017 + ... + 9035399.

It is an arithmetic number, because the mean of its divisors is an integer number (41081040).

Almost surely, 2^3460484664 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 3460484664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5915669760).

3460484664 is an abundant number, since it is smaller than the sum of its proper divisors (8370854856).

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

3460484664 is a wasteful number, since it uses less digits than its factorization.

3460484664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The square root of 3460484664 is about 58825.8843027455. The cubic root of 3460484664 is about 1512.5589497230.

The spelling of 3460484664 in words is "three billion, four hundred sixty million, four hundred eighty-four thousand, six hundred sixty-four".