3226387248 has 320 divisors, whose sum is σ = 11051991040. Its totient is φ = 881798400.

The previous prime is 3226387193. The next prime is 3226387249. The reversal of 3226387248 is 8427836223.

3226387248 is a `hidden beast` number, since 3 + 2 + 2 + 638 + 7 + 2 + 4 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3226387249) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11905353 + ... + 11905623.

It is an arithmetic number, because the mean of its divisors is an integer number (34537472).

Almost surely, 2^3226387248 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 3226387248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5525995520).

3226387248 is an abundant number, since it is smaller than the sum of its proper divisors (7825603792).

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

3226387248 is a wasteful number, since it uses less digits than its factorization.

3226387248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 441 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 3226387248 is about 56801.2961823936. The cubic root of 3226387248 is about 1477.6519939489.

The spelling of 3226387248 in words is "three billion, two hundred twenty-six million, three hundred eighty-seven thousand, two hundred forty-eight".