34213301200 has 120 divisors (see below), whose sum is σ = 88748665208. Its totient is φ = 12600023040.

The previous prime is 34213301191. The next prime is 34213301209. The reversal of 34213301200 is 210331243.

It is an interprime number because it is at equal distance from previous prime (34213301191) and next prime (34213301209).

It can be written as a sum of positive squares in 12 ways, for example, as 9347795856 + 24865505344 = 96684^2 + 157688^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34213301209) 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, 2056114 + ... + 2072686.

Almost surely, 2^34213301200 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 34213301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44374332604).

34213301200 is an abundant number, since it is smaller than the sum of its proper divisors (54535364008).

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

34213301200 is a wasteful number, since it uses less digits than its factorization.

34213301200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17001 (or 16990 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 34213301200 its reverse (210331243), we get a palindrome (34423632443).

The spelling of 34213301200 in words is "thirty-four billion, two hundred thirteen million, three hundred one thousand, two hundred".