3227391648 has 432 divisors, whose sum is σ = 10990365120. Its totient is φ = 919226880.

The previous prime is 3227391647. The next prime is 3227391667. The reversal of 3227391648 is 8461937223.

It is a tau number, because it is divible by the number of its divisors (432).

Its product of digits (435456) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3227391641) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 104109393 + ... + 104109423.

It is an arithmetic number, because the mean of its divisors is an integer number (25440660).

Almost surely, 2^3227391648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3227391648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5495182560).

3227391648 is an abundant number, since it is smaller than the sum of its proper divisors (7762973472).

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

3227391648 is a wasteful number, since it uses less digits than its factorization.

3227391648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 72 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 3227391648 is about 56810.1368419405. The cubic root of 3227391648 is about 1477.8053129778.

The spelling of 3227391648 in words is "three billion, two hundred twenty-seven million, three hundred ninety-one thousand, six hundred forty-eight".