3201946848 has 288 divisors, whose sum is σ = 10038712320. Its totient is φ = 1002170880.

The previous prime is 3201946777. The next prime is 3201946877. The reversal of 3201946848 is 8486491023.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8918893 + ... + 8919251.

It is an arithmetic number, because the mean of its divisors is an integer number (34856640).

Almost surely, 2^3201946848 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 3201946848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5019356160).

3201946848 is an abundant number, since it is smaller than the sum of its proper divisors (6836765472).

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

3201946848 is a wasteful number, since it uses less digits than its factorization.

3201946848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 3201946848 is about 56585.7477462302. The cubic root of 3201946848 is about 1473.9113825952.

The spelling of 3201946848 in words is "three billion, two hundred one million, nine hundred forty-six thousand, eight hundred forty-eight".