3261671616 has 112 divisors (see below), whose sum is σ = 9876983040. Its totient is φ = 930554880.

The previous prime is 3261671599. The next prime is 3261671669. The reversal of 3261671616 is 6161761623.

It is a tau number, because it is divible by the number of its divisors (112).

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

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 15 ways as a sum of consecutive naturals, for example, 1263415 + ... + 1265993.

Almost surely, 2^3261671616 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 3261671616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4938491520).

3261671616 is an abundant number, since it is smaller than the sum of its proper divisors (6615311424).

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

3261671616 is a wasteful number, since it uses less digits than its factorization.

3261671616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3542 (or 3532 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 3261671616 is about 57111.0463570753. The cubic root of 3261671616 is about 1483.0191012303.

The spelling of 3261671616 in words is "three billion, two hundred sixty-one million, six hundred seventy-one thousand, six hundred sixteen".