3278112768 has 288 divisors, whose sum is σ = 11233010880. Its totient is φ = 935608320.

The previous prime is 3278112751. The next prime is 3278112779. The reversal of 3278112768 is 8672118723.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3483178 + ... + 3484118.

It is an arithmetic number, because the mean of its divisors is an integer number (39003510).

Almost surely, 2^3278112768 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 3278112768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5616505440).

3278112768 is an abundant number, since it is smaller than the sum of its proper divisors (7954898112).

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

3278112768 is an frugal number, since it uses more digits than its factorization.

3278112768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 953 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 3278112768 is about 57254.8056323659. The cubic root of 3278112768 is about 1485.5067508367.

The spelling of 3278112768 in words is "three billion, two hundred seventy-eight million, one hundred twelve thousand, seven hundred sixty-eight".