3443328866880 has 168 divisors, whose sum is σ = 13535561886912. Its totient is φ = 787046593536.

The previous prime is 3443328866867. The next prime is 3443328866893. The reversal of 3443328866880 is 886688233443.

It is a happy number.

3443328866880 is a `hidden beast` number, since 3 + 443 + 32 + 8 + 86 + 6 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (3443328866867) and next prime (3443328866893).

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-4 number, since 4×3443328866880⁴ (a number of 51 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85379862 + ... + 85420181.

Almost surely, 2^{3443328866880} is an apocalyptic number.

3443328866880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3443328866880 is an abundant number, since it is smaller than the sum of its proper divisors (10092233020032).

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

3443328866880 is a wasteful number, since it uses less digits than its factorization.

3443328866880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170800073 (or 170800060 counting only the distinct ones).

The product of its (nonzero) digits is 127401984, while the sum is 63.

The spelling of 3443328866880 in words is "three trillion, four hundred forty-three billion, three hundred twenty-eight million, eight hundred sixty-six thousand, eight hundred eighty".