3430303141300 has 144 divisors (see below), whose sum is σ = 8592106320000. Its totient is φ = 1164416647680.

The previous prime is 3430303141241. The next prime is 3430303141319. The reversal of 3430303141300 is 31413030343.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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, 28633926 + ... + 28753474.

It is an arithmetic number, because the mean of its divisors is an integer number (59667405000).

Almost surely, 2^{3430303141300} 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 3430303141300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4296053160000).

3430303141300 is an abundant number, since it is smaller than the sum of its proper divisors (5161803178700).

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

3430303141300 is a wasteful number, since it uses less digits than its factorization.

3430303141300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119978 (or 119971 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 3430303141300 its reverse (31413030343), we get a palindrome (3461716171643).

The spelling of 3430303141300 in words is "three trillion, four hundred thirty billion, three hundred three million, one hundred forty-one thousand, three hundred".