3460872648 has 128 divisors (see below), whose sum is σ = 9879408000. Its totient is φ = 1003438080.

The previous prime is 3460872647. The next prime is 3460872661. The reversal of 3460872648 is 8462780643.

It is a junction number, because it is equal to n+sod(n) for n = 3460872597 and 3460872606.

It is not an unprimeable number, because it can be changed into a prime (3460872647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 312388 + ... + 323276.

It is an arithmetic number, because the mean of its divisors is an integer number (77182875).

Almost surely, 2^3460872648 is an apocalyptic number.

3460872648 is a gapful number since it is divisible by the number (38) 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 3460872648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4939704000).

3460872648 is an abundant number, since it is smaller than the sum of its proper divisors (6418535352).

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

3460872648 is a wasteful number, since it uses less digits than its factorization.

3460872648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10975 (or 10971 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The square root of 3460872648 is about 58829.1819422980. The cubic root of 3460872648 is about 1512.6154761731.

The spelling of 3460872648 in words is "three billion, four hundred sixty million, eight hundred seventy-two thousand, six hundred forty-eight".