3421689298560 has 1152 divisors, whose sum is σ = 13352673821760. Its totient is φ = 836911595520.

The previous prime is 3421689298481. The next prime is 3421689298603. The reversal of 3421689298560 is 658929861243.

3421689298560 is a `hidden beast` number, since 3 + 4 + 2 + 1 + 68 + 9 + 2 + 9 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5545687372 + ... + 5545687988.

Almost surely, 2^{3421689298560} is an apocalyptic number.

3421689298560 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 3421689298560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6676336910880).

3421689298560 is an abundant number, since it is smaller than the sum of its proper divisors (9930984523200).

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

3421689298560 is a wasteful number, since it uses less digits than its factorization.

3421689298560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 3421689298560 in words is "three trillion, four hundred twenty-one billion, six hundred eighty-nine million, two hundred ninety-eight thousand, five hundred sixty".