3431124200200 has 48 divisors (see below), whose sum is σ = 7977775611780. Its totient is φ = 1372378824960.

The previous prime is 3431124200171. The next prime is 3431124200209. The reversal of 3431124200200 is 20024211343.

It can be written as a sum of positive squares in 6 ways, for example, as 820825128036 + 2610299072164 = 905994^2 + 1615642^2 .

It is a super-2 number, since 2×3431124200200² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3431124200209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3529662 + ... + 4395538.

Almost surely, 2^{3431124200200} is an apocalyptic number.

It is an amenable number.

3431124200200 is an abundant number, since it is smaller than the sum of its proper divisors (4546651411580).

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

3431124200200 is a wasteful number, since it uses less digits than its factorization.

3431124200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885706 (or 885697 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 3431124200200 its reverse (20024211343), we get a palindrome (3451148411543).

The spelling of 3431124200200 in words is "three trillion, four hundred thirty-one billion, one hundred twenty-four million, two hundred thousand, two hundred".