3218240064 has 224 divisors, whose sum is σ = 9786112000. Its totient is φ = 925157376.

The previous prime is 3218240041. The next prime is 3218240087. The reversal of 3218240064 is 4600428123.

3218240064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3218240041) and next prime (3218240087).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3746067 + ... + 3746925.

It is an arithmetic number, because the mean of its divisors is an integer number (43688000).

Almost surely, 2^3218240064 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 3218240064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4893056000).

3218240064 is an abundant number, since it is smaller than the sum of its proper divisors (6567871936).

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

3218240064 is a wasteful number, since it uses less digits than its factorization.

3218240064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 3218240064 is about 56729.5343185540. The cubic root of 3218240064 is about 1476.4071702227.

Adding to 3218240064 its reverse (4600428123), we get a palindrome (7818668187).

The spelling of 3218240064 in words is "three billion, two hundred eighteen million, two hundred forty thousand, sixty-four".