3443251680 has 576 divisors, whose sum is σ = 13591888128. Its totient is φ = 816168960.

The previous prime is 3443251667. The next prime is 3443251711. The reversal of 3443251680 is 861523443.

3443251680 is a `hidden beast` number, since 34 + 4 + 32 + 516 + 80 = 666.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35497392 + ... + 35497488.

It is an arithmetic number, because the mean of its divisors is an integer number (23597028).

Almost surely, 2^3443251680 is an apocalyptic number.

3443251680 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 3443251680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6795944064).

3443251680 is an abundant number, since it is smaller than the sum of its proper divisors (10148636448).

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

3443251680 is a wasteful number, since it uses less digits than its factorization.

3443251680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3443251680 is about 58679.2269887735. The cubic root of 3443251680 is about 1510.0439558568.

The spelling of 3443251680 in words is "three billion, four hundred forty-three million, two hundred fifty-one thousand, six hundred eighty".