3271413312 has 224 divisors, whose sum is σ = 10400995200. Its totient is φ = 1004783616.

The previous prime is 3271413307. The next prime is 3271413319. The reversal of 3271413312 is 2133141723.

It is a happy number.

3271413312 is a `hidden beast` number, since 327 + 1 + 4 + 1 + 331 + 2 = 666.

3271413312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3271413319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1213438 + ... + 1216130.

Almost surely, 2^3271413312 is an apocalyptic number.

3271413312 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 3271413312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5200497600).

3271413312 is an abundant number, since it is smaller than the sum of its proper divisors (7129581888).

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

3271413312 is a wasteful number, since it uses less digits than its factorization.

3271413312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2770 (or 2754 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 3271413312 is about 57196.2700881797. The cubic root of 3271413312 is about 1484.4940874337.

The spelling of 3271413312 in words is "three billion, two hundred seventy-one million, four hundred thirteen thousand, three hundred twelve".