3468648960 has 640 divisors, whose sum is σ = 14424791040. Its totient is φ = 773701632.

The previous prime is 3468648923. The next prime is 3468648961. The reversal of 3468648960 is 698468643.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3468648897 and 3468648906.

It is not an unprimeable number, because it can be changed into a prime (3468648961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32417227 + ... + 32417333.

It is an arithmetic number, because the mean of its divisors is an integer number (22538736).

Almost surely, 2^3468648960 is an apocalyptic number.

3468648960 is a gapful number since it is divisible by the number (30) 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 3468648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7212395520).

3468648960 is an abundant number, since it is smaller than the sum of its proper divisors (10956142080).

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

3468648960 is a wasteful number, since it uses less digits than its factorization.

3468648960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The square root of 3468648960 is about 58895.2371588739. The cubic root of 3468648960 is about 1513.7475385356.

The spelling of 3468648960 in words is "three billion, four hundred sixty-eight million, six hundred forty-eight thousand, nine hundred sixty".