34130344200 has 192 divisors, whose sum is σ = 107657752320. Its totient is φ = 8943360000.

The previous prime is 34130344177. The next prime is 34130344277. The reversal of 34130344200 is 244303143.

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

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, 8300145 + ... + 8304255.

It is an arithmetic number, because the mean of its divisors is an integer number (560717460).

Almost surely, 2^34130344200 is an apocalyptic number.

34130344200 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 34130344200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53828876160).

34130344200 is an abundant number, since it is smaller than the sum of its proper divisors (73527408120).

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

34130344200 is a wasteful number, since it uses less digits than its factorization.

34130344200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4368 (or 4359 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 34130344200 its reverse (244303143), we get a palindrome (34374647343).

The spelling of 34130344200 in words is "thirty-four billion, one hundred thirty million, three hundred forty-four thousand, two hundred".