3395842652160 has 2304 divisors, whose sum is σ = 15202485043200. Its totient is φ = 709469798400.

The previous prime is 3395842652149. The next prime is 3395842652161. The reversal of 3395842652160 is 612562485933.

It is a happy number.

3395842652160 is a `hidden beast` number, since 3 + 3 + 9 + 5 + 8 + 426 + 52 + 160 = 666.

3395842652160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3395842652097 and 3395842652106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3395842652161) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10259343195 + ... + 10259343525.

It is an arithmetic number, because the mean of its divisors is an integer number (6598300800).

Almost surely, 2^{3395842652160} is an apocalyptic number.

3395842652160 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 3395842652160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7601242521600).

3395842652160 is an abundant number, since it is smaller than the sum of its proper divisors (11806642391040).

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

3395842652160 is a wasteful number, since it uses less digits than its factorization.

3395842652160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 3395842652160 in words is "three trillion, three hundred ninety-five billion, eight hundred forty-two million, six hundred fifty-two thousand, one hundred sixty".