3468672738960 has 640 divisors, whose sum is σ = 13406666918400. Its totient is φ = 728865177600.

The previous prime is 3468672738959. The next prime is 3468672738967. The reversal of 3468672738960 is 698372768643.

It is not an unprimeable number, because it can be changed into a prime (3468672738967) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 261957940 + ... + 261971180.

It is an arithmetic number, because the mean of its divisors is an integer number (20947917060).

Almost surely, 2^{3468672738960} is an apocalyptic number.

3468672738960 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 3468672738960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6703333459200).

3468672738960 is an abundant number, since it is smaller than the sum of its proper divisors (9937994179440).

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

3468672738960 is a wasteful number, since it uses less digits than its factorization.

3468672738960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13747 (or 13741 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 69.

The spelling of 3468672738960 in words is "three trillion, four hundred sixty-eight billion, six hundred seventy-two million, seven hundred thirty-eight thousand, nine hundred sixty".