3460938780672 has 312 divisors, whose sum is σ = 10271946484800. Its totient is φ = 1122094940160.

The previous prime is 3460938780619. The next prime is 3460938780679. The reversal of 3460938780672 is 2760878390643.

3460938780672 is a `hidden beast` number, since 3 + 460 + 9 + 38 + 7 + 80 + 67 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3460938780679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 524460829 + ... + 524467427.

It is an arithmetic number, because the mean of its divisors is an integer number (32922905400).

Almost surely, 2^{3460938780672} is an apocalyptic number.

3460938780672 is a gapful number since it is divisible by the number (32) 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 3460938780672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5135973242400).

3460938780672 is an abundant number, since it is smaller than the sum of its proper divisors (6811007704128).

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

3460938780672 is a wasteful number, since it uses less digits than its factorization.

3460938780672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7017 (or 6992 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 3460938780672 in words is "three trillion, four hundred sixty billion, nine hundred thirty-eight million, seven hundred eighty thousand, six hundred seventy-two".