3461832672 has 96 divisors (see below), whose sum is σ = 10040308992. Its totient is φ = 1038833664.

The previous prime is 3461832659. The next prime is 3461832727. The reversal of 3461832672 is 2762381643.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8578 + ... + 83649.

It is an arithmetic number, because the mean of its divisors is an integer number (104586552).

Almost surely, 2^3461832672 is an apocalyptic number.

3461832672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3461832672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5020154496).

3461832672 is an abundant number, since it is smaller than the sum of its proper divisors (6578476320).

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

3461832672 is a wasteful number, since it uses less digits than its factorization.

3461832672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92280 (or 92272 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 3461832672 is about 58837.3407964704. The cubic root of 3461832672 is about 1512.7553265380.

The spelling of 3461832672 in words is "three billion, four hundred sixty-one million, eight hundred thirty-two thousand, six hundred seventy-two".