3421061775360 has 912 divisors, whose sum is σ = 12861120819456. Its totient is φ = 870750093312.

The previous prime is 3421061775343. The next prime is 3421061775367. The reversal of 3421061775360 is 635771601243.

3421061775360 is a `hidden beast` number, since 3 + 4 + 2 + 106 + 1 + 7 + 7 + 536 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3421061775367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7325613847 + ... + 7325614313.

Almost surely, 2^{3421061775360} is an apocalyptic number.

3421061775360 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 3421061775360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6430560409728).

3421061775360 is an abundant number, since it is smaller than the sum of its proper divisors (9440059044096).

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

3421061775360 is an frugal number, since it uses more digits than its factorization.

3421061775360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 3421061775360 in words is "three trillion, four hundred twenty-one billion, sixty-one million, seven hundred seventy-five thousand, three hundred sixty".