3441576006000 has 320 divisors, whose sum is σ = 13449264192000. Its totient is φ = 834321312000.

The previous prime is 3441576005951. The next prime is 3441576006017. The reversal of 3441576006000 is 6006751443.

It is a happy number.

3441576006000 is a `hidden beast` number, since 3 + 4 + 41 + 5 + 7 + 6 + 0 + 0 + 600 + 0 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2302950 + ... + 3490949.

It is an arithmetic number, because the mean of its divisors is an integer number (42028950600).

Almost surely, 2^{3441576006000} is an apocalyptic number.

3441576006000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3441576006000 is an abundant number, since it is smaller than the sum of its proper divisors (10007688186000).

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

3441576006000 is a wasteful number, since it uses less digits than its factorization.

3441576006000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5793942 (or 5793920 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 3441576006000 in words is "three trillion, four hundred forty-one billion, five hundred seventy-six million, six thousand".