3414001024200 has 192 divisors, whose sum is σ = 11417556729600. Its totient is φ = 838891468800.

The previous prime is 3414001024199. The next prime is 3414001024211. The reversal of 3414001024200 is 24201004143.

3414001024200 is a modest number, since divided by 1024200 gives 341400 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4053585 + ... + 4822815.

It is an arithmetic number, because the mean of its divisors is an integer number (59466441300).

Almost surely, 2^{3414001024200} is an apocalyptic number.

3414001024200 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 3414001024200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5708778364800).

3414001024200 is an abundant number, since it is smaller than the sum of its proper divisors (8003555705400).

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

3414001024200 is a wasteful number, since it uses less digits than its factorization.

3414001024200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769832 (or 769823 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 3414001024200 its reverse (24201004143), we get a palindrome (3438202028343).

The spelling of 3414001024200 in words is "three trillion, four hundred fourteen billion, one million, twenty-four thousand, two hundred".