3461891328 has 108 divisors (see below), whose sum is σ = 11407465888. Its totient is φ = 989107200.

The previous prime is 3461891317. The next prime is 3461891353. The reversal of 3461891328 is 8231981643.

3461891328 is a `hidden beast` number, since 3 + 4 + 618 + 9 + 1 + 3 + 28 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91198 + ... + 123453.

Almost surely, 2^3461891328 is an apocalyptic number.

It is an amenable number.

3461891328 is an abundant number, since it is smaller than the sum of its proper divisors (7945574560).

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

3461891328 is a wasteful number, since it uses less digits than its factorization.

3461891328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214680 (or 214663 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 3461891328 is about 58837.8392533240. The cubic root of 3461891328 is about 1512.7638703435.

The spelling of 3461891328 in words is "three billion, four hundred sixty-one million, eight hundred ninety-one thousand, three hundred twenty-eight".