3278832960 has 448 divisors, whose sum is σ = 11746748160. Its totient is φ = 769720320.

The previous prime is 3278832937. The next prime is 3278832967. The reversal of 3278832960 is 692388723.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3278832967) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 44915484 + ... + 44915556.

It is an arithmetic number, because the mean of its divisors is an integer number (26220420).

Almost surely, 2^3278832960 is an apocalyptic number.

3278832960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3278832960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5873374080).

3278832960 is an abundant number, since it is smaller than the sum of its proper divisors (8467915200).

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

3278832960 is a wasteful number, since it uses less digits than its factorization.

3278832960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 3278832960 is about 57261.0946454921. The cubic root of 3278832960 is about 1485.6155300659.

The spelling of 3278832960 in words is "three billion, two hundred seventy-eight million, eight hundred thirty-two thousand, nine hundred sixty".