3385117056 has 64 divisors (see below), whose sum is σ = 9075862080. Its totient is φ = 1117813248.

The previous prime is 3385117051. The next prime is 3385117063. The reversal of 3385117056 is 6507115833.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3385117056² = 22918034965644214272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3385117051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106 + ... + 82281.

It is an arithmetic number, because the mean of its divisors is an integer number (141810345).

Almost surely, 2^3385117056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3385117056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4537931040).

3385117056 is an abundant number, since it is smaller than the sum of its proper divisors (5690745024).

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

3385117056 is a wasteful number, since it uses less digits than its factorization.

3385117056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82511 (or 82499 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 3385117056 is about 58181.7587908788. The cubic root of 3385117056 is about 1501.4973279531.

The spelling of 3385117056 in words is "three billion, three hundred eighty-five million, one hundred seventeen thousand, fifty-six".