3460941389880 has 1536 divisors, whose sum is σ = 13675103769600. Its totient is φ = 779628478464.

The previous prime is 3460941389821. The next prime is 3460941389929. The reversal of 3460941389880 is 889831490643.

3460941389880 is a `hidden beast` number, since 3 + 4 + 60 + 9 + 413 + 89 + 8 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 20005441474 + ... + 20005441646.

It is an arithmetic number, because the mean of its divisors is an integer number (8903062350).

Almost surely, 2^{3460941389880} is an apocalyptic number.

3460941389880 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 3460941389880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6837551884800).

3460941389880 is an abundant number, since it is smaller than the sum of its proper divisors (10214162379720).

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

3460941389880 is a wasteful number, since it uses less digits than its factorization.

3460941389880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 3460941389880 in words is "three trillion, four hundred sixty billion, nine hundred forty-one million, three hundred eighty-nine thousand, eight hundred eighty".