3385845765 has 40 divisors (see below), whose sum is σ = 6233508600. Its totient is φ = 1756971648.

The previous prime is 3385845763. The next prime is 3385845797. The reversal of 3385845765 is 5675485833.

3385845765 is a `hidden beast` number, since 3 + 3 + 8 + 584 + 57 + 6 + 5 = 666.

3385845765 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2091141441 + 1294704324 = 45729^2 + 35982^2 .

It is not a de Polignac number, because 3385845765 - 2¹ = 3385845763 is a prime.

It is a super-2 number, since 2×3385845765² = 22927903088736870450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3385845763) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 97990 + ... + 127959.

It is an arithmetic number, because the mean of its divisors is an integer number (155837715).

Almost surely, 2^3385845765 is an apocalyptic number.

It is an amenable number.

3385845765 is a deficient number, since it is larger than the sum of its proper divisors (2847662835).

3385845765 is a wasteful number, since it uses less digits than its factorization.

3385845765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226003 (or 225994 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 54.

The square root of 3385845765 is about 58188.0208032547. The cubic root of 3385845765 is about 1501.6050619049.

The spelling of 3385845765 in words is "three billion, three hundred eighty-five million, eight hundred forty-five thousand, seven hundred sixty-five".