3443644512 has 432 divisors, whose sum is σ = 12966670080. Its totient is φ = 846236160.

The previous prime is 3443644483. The next prime is 3443644541. The reversal of 3443644512 is 2154463443.

3443644512 is a `hidden beast` number, since 3 + 4 + 4 + 3 + 644 + 5 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (3443644483) and next prime (3443644541).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4634413 + ... + 4635155.

It is an arithmetic number, because the mean of its divisors is an integer number (30015440).

Almost surely, 2^3443644512 is an apocalyptic number.

3443644512 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 3443644512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6483335040).

3443644512 is an abundant number, since it is smaller than the sum of its proper divisors (9523025568).

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

3443644512 is a wasteful number, since it uses less digits than its factorization.

3443644512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 785 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 3443644512 is about 58682.5741766668. The cubic root of 3443644512 is about 1510.1013793899.

The spelling of 3443644512 in words is "three billion, four hundred forty-three million, six hundred forty-four thousand, five hundred twelve".