3420786216960 has 1248 divisors, whose sum is σ = 14887038965760. Its totient is φ = 708418732032.

The previous prime is 3420786216959. The next prime is 3420786216971. The reversal of 3420786216960 is 696126870243.

3420786216960 is a `hidden beast` number, since 3 + 4 + 2 + 0 + 7 + 8 + 621 + 6 + 9 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3420786216897 and 3420786216906.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 563831847 + ... + 563837913.

It is an arithmetic number, because the mean of its divisors is an integer number (11928717120).

Almost surely, 2^{3420786216960} is an apocalyptic number.

3420786216960 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 3420786216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7443519482880).

3420786216960 is an abundant number, since it is smaller than the sum of its proper divisors (11466252748800).

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

3420786216960 is a wasteful number, since it uses less digits than its factorization.

3420786216960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6151 (or 6126 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 3420786216960 in words is "three trillion, four hundred twenty billion, seven hundred eighty-six million, two hundred sixteen thousand, nine hundred sixty".