3291273216 has 384 divisors, whose sum is σ = 12170995200. Its totient is φ = 853770240.

The previous prime is 3291273137. The next prime is 3291273217. The reversal of 3291273216 is 6123721923.

3291273216 is a `hidden beast` number, since 329 + 1 + 2 + 7 + 321 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3291273217) 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, 4257406 + ... + 4258178.

It is an arithmetic number, because the mean of its divisors is an integer number (31695300).

Almost surely, 2^3291273216 is an apocalyptic number.

3291273216 is a gapful number since it is divisible by the number (36) 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 3291273216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6085497600).

3291273216 is an abundant number, since it is smaller than the sum of its proper divisors (8879721984).

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

3291273216 is a wasteful number, since it uses less digits than its factorization.

3291273216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 796 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 3291273216 is about 57369.6192771052. The cubic root of 3291273216 is about 1487.4920222344.

The spelling of 3291273216 in words is "three billion, two hundred ninety-one million, two hundred seventy-three thousand, two hundred sixteen".