3226467140 has 192 divisors, whose sum is σ = 8145446400. Its totient is φ = 1062014976.

The previous prime is 3226467137. The next prime is 3226467149. The reversal of 3226467140 is 417646223.

3226467140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3226467140.

It is not an unprimeable number, because it can be changed into a prime (3226467149) 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, 8294066 + ... + 8294454.

It is an arithmetic number, because the mean of its divisors is an integer number (42424200).

Almost surely, 2^3226467140 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 3226467140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4072723200).

3226467140 is an abundant number, since it is smaller than the sum of its proper divisors (4918979260).

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

3226467140 is a wasteful number, since it uses less digits than its factorization.

3226467140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The square root of 3226467140 is about 56801.9994366396. Note that the first 3 decimals coincide. The cubic root of 3226467140 is about 1477.6641904182.

The spelling of 3226467140 in words is "three billion, two hundred twenty-six million, four hundred sixty-seven thousand, one hundred forty".