3401443584000 has 3456 divisors, whose sum is σ = 16272125251200. Its totient is φ = 698277888000.

The previous prime is 3401443583999. The next prime is 3401443584067. The reversal of 3401443584000 is 4853441043.

3401443584000 is a `hidden beast` number, since 34 + 0 + 1 + 4 + 43 + 584 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

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 287 ways as a sum of consecutive naturals, for example, 40981247959 + ... + 40981248041.

It is an arithmetic number, because the mean of its divisors is an integer number (4708369575).

Almost surely, 2^{3401443584000} is an apocalyptic number.

3401443584000 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 3401443584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8136062625600).

3401443584000 is an abundant number, since it is smaller than the sum of its proper divisors (12870681667200).

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

3401443584000 is a wasteful number, since it uses less digits than its factorization.

3401443584000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 3401443584000 in words is "three trillion, four hundred one billion, four hundred forty-three million, five hundred eighty-four thousand".