3414213143300 has 288 divisors, whose sum is σ = 8101051812000. Its totient is φ = 1245829939200.

The previous prime is 3414213143281. The next prime is 3414213143309. The reversal of 3414213143300 is 33413124143.

It is a happy number.

It can be written as a sum of positive squares in 48 ways, for example, as 1741391665924 + 1672821477376 = 1319618^2 + 1293376^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (3414213143309) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1007438006 + ... + 1007441394.

It is an arithmetic number, because the mean of its divisors is an integer number (28128652125).

Almost surely, 2^{3414213143300} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3414213143300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4050525906000).

3414213143300 is an abundant number, since it is smaller than the sum of its proper divisors (4686838668700).

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

3414213143300 is a wasteful number, since it uses less digits than its factorization.

3414213143300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3739 (or 3732 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 3414213143300 its reverse (33413124143), we get a palindrome (3447626267443).

The spelling of 3414213143300 in words is "three trillion, four hundred fourteen billion, two hundred thirteen million, one hundred forty-three thousand, three hundred".