3271145472 has 336 divisors, whose sum is σ = 11243297520. Its totient is φ = 931627008.

The previous prime is 3271145461. The next prime is 3271145473. The reversal of 3271145472 is 2745411723.

3271145472 is a `hidden beast` number, since 32 + 71 + 14 + 547 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×3271145472² = 21400785397972205568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3271145473) 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 27 ways as a sum of consecutive naturals, for example, 10450788 + ... + 10451100.

It is an arithmetic number, because the mean of its divisors is an integer number (33462195).

Almost surely, 2^3271145472 is an apocalyptic number.

3271145472 is a gapful number since it is divisible by the number (32) 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 3271145472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5621648760).

3271145472 is an abundant number, since it is smaller than the sum of its proper divisors (7972152048).

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

3271145472 is an frugal number, since it uses more digits than its factorization.

3271145472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 325 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 3271145472 is about 57193.9286288326. The cubic root of 3271145472 is about 1484.4535730638.

The spelling of 3271145472 in words is "three billion, two hundred seventy-one million, one hundred forty-five thousand, four hundred seventy-two".