3413104200 has 288 divisors, whose sum is σ = 12576695040. Its totient is φ = 822643200.

The previous prime is 3413104199. The next prime is 3413104243. The reversal of 3413104200 is 24013143.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4415014 + ... + 4415786.

It is an arithmetic number, because the mean of its divisors is an integer number (43669080).

Almost surely, 2^3413104200 is an apocalyptic number.

3413104200 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 3413104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6288347520).

3413104200 is an abundant number, since it is smaller than the sum of its proper divisors (9163590840).

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

3413104200 is a wasteful number, since it uses less digits than its factorization.

3413104200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3413104200 is about 58421.7784734426. The cubic root of 3413104200 is about 1505.6239544054.

Adding to 3413104200 its reverse (24013143), we get a palindrome (3437117343).

The spelling of 3413104200 in words is "three billion, four hundred thirteen million, one hundred four thousand, two hundred".