3400451341200 has 180 divisors, whose sum is σ = 12207425261460. Its totient is φ = 875518479360.

The previous prime is 3400451341169. The next prime is 3400451341253. The reversal of 3400451341200 is 21431540043.

It is a happy number.

3400451341200 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 451 + 3 + 4 + 1 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 233356176 + 3400217985024 = 15276^2 + 1843968^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16181287 + ... + 16390086.

Almost surely, 2^{3400451341200} is an apocalyptic number.

3400451341200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3400451341200 is an abundant number, since it is smaller than the sum of its proper divisors (8806973920260).

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

3400451341200 is a wasteful number, since it uses less digits than its factorization.

3400451341200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32571426 (or 32571412 counting only the distinct ones).

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

Adding to 3400451341200 its reverse (21431540043), we get a palindrome (3421882881243).

The spelling of 3400451341200 in words is "three trillion, four hundred billion, four hundred fifty-one million, three hundred forty-one thousand, two hundred".