3443901344640 has 384 divisors, whose sum is σ = 12224070349920. Its totient is φ = 892789309440.

The previous prime is 3443901344621. The next prime is 3443901344647. The reversal of 3443901344640 is 464431093443.

3443901344640 is a `hidden beast` number, since 3 + 4 + 439 + 0 + 134 + 46 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3443901344640² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3443901344647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 275131662 + ... + 275144178.

Almost surely, 2^{3443901344640} is an apocalyptic number.

3443901344640 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 3443901344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6112035174960).

3443901344640 is an abundant number, since it is smaller than the sum of its proper divisors (8780169005280).

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

3443901344640 is a wasteful number, since it uses less digits than its factorization.

3443901344640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13870 (or 13855 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 3443901344640 in words is "three trillion, four hundred forty-three billion, nine hundred one million, three hundred forty-four thousand, six hundred forty".