3218664960 has 360 divisors, whose sum is σ = 12971631816. Its totient is φ = 735436800.

The previous prime is 3218664907. The next prime is 3218665003. The reversal of 3218664960 is 694668123.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1127535 + ... + 1130385.

Almost surely, 2^3218664960 is an apocalyptic number.

3218664960 is a gapful number since it is divisible by the number (30) 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 3218664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6485815908).

3218664960 is an abundant number, since it is smaller than the sum of its proper divisors (9752966856).

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

3218664960 is a wasteful number, since it uses less digits than its factorization.

3218664960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2894 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 3218664960 is about 56733.2791225750. The cubic root of 3218664960 is about 1476.4721427835.

The spelling of 3218664960 in words is "three billion, two hundred eighteen million, six hundred sixty-four thousand, nine hundred sixty".