3463660872 has 256 divisors, whose sum is σ = 11423347200. Its totient is φ = 951782400.

The previous prime is 3463660859. The next prime is 3463660891. The reversal of 3463660872 is 2780663643.

3463660872 is a `hidden beast` number, since 3 + 4 + 6 + 36 + 608 + 7 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5650038 + ... + 5650650.

It is an arithmetic number, because the mean of its divisors is an integer number (44622450).

Almost surely, 2^3463660872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3463660872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5711673600).

3463660872 is an abundant number, since it is smaller than the sum of its proper divisors (7959686328).

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

3463660872 is a wasteful number, since it uses less digits than its factorization.

3463660872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 3463660872 is about 58852.8747980929. The cubic root of 3463660872 is about 1513.0215759353.

The spelling of 3463660872 in words is "three billion, four hundred sixty-three million, six hundred sixty thousand, eight hundred seventy-two".