3441312576000 has 960 divisors, whose sum is σ = 13710293172576. Its totient is φ = 824131584000.

The previous prime is 3441312575977. The next prime is 3441312576001. The reversal of 3441312576000 is 6752131443.

3441312576000 is a `hidden beast` number, since 3 + 4 + 41 + 3 + 1 + 2 + 5 + 7 + 600 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 51177298176 + 3390135277824 = 226224^2 + 1841232^2 .

It is a tau number, because it is divible by the number of its divisors (960).

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

It is not an unprimeable number, because it can be changed into a prime (3441312576001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 277049790 + ... + 277062210.

Almost surely, 2^{3441312576000} is an apocalyptic number.

3441312576000 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 3441312576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6855146586288).

3441312576000 is an abundant number, since it is smaller than the sum of its proper divisors (10268980596576).

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

3441312576000 is a wasteful number, since it uses less digits than its factorization.

3441312576000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12510 (or 12481 counting only the distinct ones).

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

The spelling of 3441312576000 in words is "three trillion, four hundred forty-one billion, three hundred twelve million, five hundred seventy-six thousand".