3461671665 has 48 divisors (see below), whose sum is σ = 6385392000. Its totient is φ = 1728815616.

The previous prime is 3461671657. The next prime is 3461671673. The reversal of 3461671665 is 5661761643.

It is an interprime number because it is at equal distance from previous prime (3461671657) and next prime (3461671673).

It is not a de Polignac number, because 3461671665 - 2³ = 3461671657 is a prime.

It is a super-3 number, since 3×3461671665³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3461671665.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140866 + ... + 163604.

It is an arithmetic number, because the mean of its divisors is an integer number (133029000).

Almost surely, 2^3461671665 is an apocalyptic number.

It is an amenable number.

3461671665 is a deficient number, since it is larger than the sum of its proper divisors (2923720335).

3461671665 is a wasteful number, since it uses less digits than its factorization.

3461671665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22966 (or 22963 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 3461671665 is about 58835.9725423146. The cubic root of 3461671665 is about 1512.7318738376.

The spelling of 3461671665 in words is "three billion, four hundred sixty-one million, six hundred seventy-one thousand, six hundred sixty-five".