3456847008 has 144 divisors (see below), whose sum is σ = 10361385216. Its totient is φ = 1091059200.

The previous prime is 3456846919. The next prime is 3456847019. The reversal of 3456847008 is 8007486543.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 666441 + ... + 671607.

It is an arithmetic number, because the mean of its divisors is an integer number (71954064).

Almost surely, 2^3456847008 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 3456847008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5180692608).

3456847008 is an abundant number, since it is smaller than the sum of its proper divisors (6904538208).

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

3456847008 is a wasteful number, since it uses less digits than its factorization.

3456847008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5307 (or 5296 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 3456847008 is about 58794.9573347919. The cubic root of 3456847008 is about 1512.0287640451.

The spelling of 3456847008 in words is "three billion, four hundred fifty-six million, eight hundred forty-seven thousand, eight".