3461643680 has 48 divisors (see below), whose sum is σ = 8921604384. Its totient is φ = 1258778880.

The previous prime is 3461643617. The next prime is 3461643761. The reversal of 3461643680 is 863461643.

3461643680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3461643680³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 981662 + ... + 985181.

It is an arithmetic number, because the mean of its divisors is an integer number (185866758).

Almost surely, 2^3461643680 is an apocalyptic number.

It is an amenable number.

3461643680 is an abundant number, since it is smaller than the sum of its proper divisors (5459960704).

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

3461643680 is a wasteful number, since it uses less digits than its factorization.

3461643680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966869 (or 1966861 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 41.

The square root of 3461643680 is about 58835.7347196413. The cubic root of 3461643680 is about 1512.7277973952.

The spelling of 3461643680 in words is "three billion, four hundred sixty-one million, six hundred forty-three thousand, six hundred eighty".