3406103719200 has 4320 divisors, whose sum is σ = 16926740994240. Its totient is φ = 658409472000.

The previous prime is 3406103719199. The next prime is 3406103719237. The reversal of 3406103719200 is 29173016043.

3406103719200 is a `hidden beast` number, since 3 + 4 + 0 + 610 + 3 + 7 + 19 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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 (17) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 33723799150 + ... + 33723799250.

It is an arithmetic number, because the mean of its divisors is an integer number (3918227082).

Almost surely, 2^{3406103719200} is an apocalyptic number.

3406103719200 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 3406103719200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8463370497120).

3406103719200 is an abundant number, since it is smaller than the sum of its proper divisors (13520637275040).

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

3406103719200 is a wasteful number, since it uses less digits than its factorization.

3406103719200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 3406103719200 in words is "three trillion, four hundred six billion, one hundred three million, seven hundred nineteen thousand, two hundred".