3385706216760 has 1152 divisors, whose sum is σ = 14116939200000. Its totient is φ = 698409879552.

The previous prime is 3385706216707. The next prime is 3385706216821. The reversal of 3385706216760 is 676126075833.

3385706216760 is a `hidden beast` number, since 3 + 3 + 8 + 5 + 7 + 0 + 621 + 6 + 7 + 6 + 0 = 666.

3385706216760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3385706216760² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3385706216697 and 3385706216706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2258642491 + ... + 2258643989.

It is an arithmetic number, because the mean of its divisors is an integer number (12254287500).

Almost surely, 2^{3385706216760} is an apocalyptic number.

3385706216760 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 3385706216760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7058469600000).

3385706216760 is an abundant number, since it is smaller than the sum of its proper divisors (10731232983240).

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

3385706216760 is a wasteful number, since it uses less digits than its factorization.

3385706216760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1865 (or 1851 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 3385706216760 in words is "three trillion, three hundred eighty-five billion, seven hundred six million, two hundred sixteen thousand, seven hundred sixty".