34131424200 has 48 divisors (see below), whose sum is σ = 105807416880. Its totient is φ = 9101712960.

The previous prime is 34131424177. The next prime is 34131424207. The reversal of 34131424200 is 242413143.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (34131424207) 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, 28442254 + ... + 28443453.

It is an arithmetic number, because the mean of its divisors is an integer number (2204321185).

Almost surely, 2^34131424200 is an apocalyptic number.

34131424200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34131424200 is an abundant number, since it is smaller than the sum of its proper divisors (71675992680).

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

34131424200 is a wasteful number, since it uses less digits than its factorization.

34131424200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56885726 (or 56885717 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 34131424200 its reverse (242413143), we get a palindrome (34373837343).

The spelling of 34131424200 in words is "thirty-four billion, one hundred thirty-one million, four hundred twenty-four thousand, two hundred".