3248144640 has 648 divisors, whose sum is σ = 12960386712. Its totient is φ = 746127360.

The previous prime is 3248144611. The next prime is 3248144651. The reversal of 3248144640 is 464418423.

3248144640 is a `hidden beast` number, since 3 + 2 + 4 + 8 + 1 + 4 + 4 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 78004224 + 3170140416 = 8832^2 + 56304^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3248144595 and 3248144604.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 79223020 + ... + 79223060.

Almost surely, 2^3248144640 is an apocalyptic number.

3248144640 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 3248144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6480193356).

3248144640 is an abundant number, since it is smaller than the sum of its proper divisors (9712242072).

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

3248144640 is a wasteful number, since it uses less digits than its factorization.

3248144640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 3248144640 is about 56992.4963482036. The cubic root of 3248144640 is about 1480.9661089225.

The spelling of 3248144640 in words is "three billion, two hundred forty-eight million, one hundred forty-four thousand, six hundred forty".