3485775843 has 64 divisors (see below), whose sum is σ = 5970585600. Its totient is φ = 1989792000.

The previous prime is 3485775827. The next prime is 3485775847.

It is a happy number.

3485775843 is a `hidden beast` number, since 3 + 4 + 8 + 57 + 7 + 584 + 3 = 666.

3485775843 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3485775843 - 2⁴ = 3485775827 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3485775843.

It is not an unprimeable number, because it can be changed into a prime (3485775847) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 348198 + ... + 358068.

It is an arithmetic number, because the mean of its divisors is an integer number (93290400).

Almost surely, 2^3485775843 is an apocalyptic number.

3485775843 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3485775843 is a deficient number, since it is larger than the sum of its proper divisors (2484809757).

3485775843 is a wasteful number, since it uses less digits than its factorization.

3485775843 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9961 (or 9955 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 54.

The square root of 3485775843 is about 59040.4593732129. The cubic root of 3485775843 is about 1516.2348876806.

The spelling of 3485775843 in words is "three billion, four hundred eighty-five million, seven hundred seventy-five thousand, eight hundred forty-three".