3350696809680 has 560 divisors, whose sum is σ = 12793429293120. Its totient is φ = 809015040000.

The previous prime is 3350696809639. The next prime is 3350696809777. The reversal of 3350696809680 is 869086960533.

3350696809680 is a `hidden beast` number, since 3 + 3 + 506 + 9 + 68 + 0 + 9 + 68 + 0 = 666.

It is a super-2 number, since 2×3350696809680² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 161011116 + ... + 161031924.

It is an arithmetic number, because the mean of its divisors is an integer number (22845409452).

Almost surely, 2^{3350696809680} is an apocalyptic number.

3350696809680 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 3350696809680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6396714646560).

3350696809680 is an abundant number, since it is smaller than the sum of its proper divisors (9442732483440).

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

3350696809680 is a wasteful number, since it uses less digits than its factorization.

3350696809680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21102 (or 21081 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 3350696809680 in words is "three trillion, three hundred fifty billion, six hundred ninety-six million, eight hundred nine thousand, six hundred eighty".