3248930928672 has 864 divisors, whose sum is σ = 11728535414400. Its totient is φ = 869086817280.

The previous prime is 3248930928601. The next prime is 3248930928679. The reversal of 3248930928672 is 2768290398423.

3248930928672 is a `hidden beast` number, since 3 + 2 + 48 + 9 + 309 + 286 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is not an unprimeable number, because it can be changed into a prime (3248930928679) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 718946829 + ... + 718951347.

Almost surely, 2^{3248930928672} is an apocalyptic number.

3248930928672 is a gapful number since it is divisible by the number (32) 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 3248930928672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5864267707200).

3248930928672 is an abundant number, since it is smaller than the sum of its proper divisors (8479604485728).

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

3248930928672 is a wasteful number, since it uses less digits than its factorization.

3248930928672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4619 (or 4571 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 3248930928672 in words is "three trillion, two hundred forty-eight billion, nine hundred thirty million, nine hundred twenty-eight thousand, six hundred seventy-two".