34012000200 has 96 divisors (see below), whose sum is σ = 105902105760. Its totient is φ = 9029875200.

The previous prime is 34012000193. The next prime is 34012000201. The reversal of 34012000200 is 200021043.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (34012000201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11340 + ... + 261060.

It is an arithmetic number, because the mean of its divisors is an integer number (1103146935).

Almost surely, 2^34012000200 is an apocalyptic number.

34012000200 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 34012000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52951052880).

34012000200 is an abundant number, since it is smaller than the sum of its proper divisors (71890105560).

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

34012000200 is a wasteful number, since it uses less digits than its factorization.

34012000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249967 (or 249958 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 34012000200 its reverse (200021043), we get a palindrome (34212021243).

The spelling of 34012000200 in words is "thirty-four billion, twelve million, two hundred", and thus it is an aban number.