3460054160 has 80 divisors (see below), whose sum is σ = 8135305200. Its totient is φ = 1368514560.

The previous prime is 3460054159. The next prime is 3460054163. The reversal of 3460054160 is 614500643.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 34527376 + 3425526784 = 5876^2 + 58528^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (3460054163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3349004 + ... + 3350036.

It is an arithmetic number, because the mean of its divisors is an integer number (101691315).

Almost surely, 2^3460054160 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 3460054160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4067652600).

3460054160 is an abundant number, since it is smaller than the sum of its proper divisors (4675251040).

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

3460054160 is a wasteful number, since it uses less digits than its factorization.

3460054160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 3460054160 is about 58822.2250514208. The cubic root of 3460054160 is about 1512.4962234726.

The spelling of 3460054160 in words is "three billion, four hundred sixty million, fifty-four thousand, one hundred sixty".