34838035200000 has 2304 divisors, whose sum is σ = 138504510144000. Its totient is φ = 8734003200000.

The previous prime is 34838035199993. The next prime is 34838035200011. The reversal of 34838035200000 is 253083843.

34838035200000 is a `hidden beast` number, since 3 + 48 + 380 + 35 + 200 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 265939199935 + ... + 265939200065.

It is an arithmetic number, because the mean of its divisors is an integer number (60114804750).

Almost surely, 2^{34838035200000} is an apocalyptic number.

34838035200000 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 34838035200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69252255072000).

34838035200000 is an abundant number, since it is smaller than the sum of its proper divisors (103666474944000).

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

34838035200000 is an frugal number, since it uses more digits than its factorization.

34838035200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 34838035200000 its reverse (253083843), we get a palindrome (34838288283843).

The spelling of 34838035200000 in words is "thirty-four trillion, eight hundred thirty-eight billion, thirty-five million, two hundred thousand".