3461771643 has 24 divisors (see below), whose sum is σ = 5237127168. Its totient is φ = 2030358000.

The previous prime is 3461771641. The next prime is 3461771783.

3461771643 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3461771643 - 2¹ = 3461771641 is a prime.

It is a super-6 number, since 6×3461771643⁶ (a number of 59 digits) contains 666666 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3461771595 and 3461771604.

It is not an unprimeable number, because it can be changed into a prime (3461771641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142563 + ... + 165068.

It is an arithmetic number, because the mean of its divisors is an integer number (218213632).

Almost surely, 2^3461771643 is an apocalyptic number.

3461771643 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3461771643 is a deficient number, since it is larger than the sum of its proper divisors (1775355525).

3461771643 is a wasteful number, since it uses less digits than its factorization.

3461771643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307687 (or 307676 counting only the distinct ones).

The product of its digits is 254016, while the sum is 42.

The square root of 3461771643 is about 58836.8221694544. The cubic root of 3461771643 is about 1512.7464369800.

The spelling of 3461771643 in words is "three billion, four hundred sixty-one million, seven hundred seventy-one thousand, six hundred forty-three".