3411542304000 has 432 divisors, whose sum is σ = 12413746996560. Its totient is φ = 899516006400.

The previous prime is 3411542303999. The next prime is 3411542304077. The reversal of 3411542304000 is 4032451143.

It is a happy number.

3411542304000 is a `hidden beast` number, since 341 + 1 + 54 + 230 + 40 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2588443370496 + 823098933504 = 1608864^2 + 907248^2 .

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 25565452 + ... + 25698548.

It is an arithmetic number, because the mean of its divisors is an integer number (28735525455).

Almost surely, 2^{3411542304000} is an apocalyptic number.

3411542304000 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 3411542304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6206873498280).

3411542304000 is an abundant number, since it is smaller than the sum of its proper divisors (9002204692560).

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

3411542304000 is a wasteful number, since it uses less digits than its factorization.

3411542304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133223 (or 133196 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 3411542304000 its reverse (4032451143), we get a palindrome (3415574755143).

The spelling of 3411542304000 in words is "three trillion, four hundred eleven billion, five hundred forty-two million, three hundred four thousand".