3271248960 has 448 divisors, whose sum is σ = 12584484864. Its totient is φ = 704102400.

The previous prime is 3271248949. The next prime is 3271248977. The reversal of 3271248960 is 698421723.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8540929 + ... + 8541311.

It is an arithmetic number, because the mean of its divisors is an integer number (28090368).

Almost surely, 2^3271248960 is an apocalyptic number.

3271248960 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 3271248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6292242432).

3271248960 is an abundant number, since it is smaller than the sum of its proper divisors (9313235904).

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

3271248960 is a wasteful number, since it uses less digits than its factorization.

3271248960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 3271248960 is about 57194.8333330905. The cubic root of 3271248960 is about 1484.4692272653.

The spelling of 3271248960 in words is "three billion, two hundred seventy-one million, two hundred forty-eight thousand, nine hundred sixty".