3406363623600 has 960 divisors, whose sum is σ = 13592010055680. Its totient is φ = 711445708800.

The previous prime is 3406363623587. The next prime is 3406363623629. The reversal of 3406363623600 is 63263636043.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1305619096 + ... + 1305621704.

It is an arithmetic number, because the mean of its divisors is an integer number (14158343808).

Almost surely, 2^{3406363623600} is an apocalyptic number.

3406363623600 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 3406363623600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6796005027840).

3406363623600 is an abundant number, since it is smaller than the sum of its proper divisors (10185646432080).

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

3406363623600 is a wasteful number, since it uses less digits than its factorization.

3406363623600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2918 (or 2907 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 42.

The spelling of 3406363623600 in words is "three trillion, four hundred six billion, three hundred sixty-three million, six hundred twenty-three thousand, six hundred".