34222304000000 has 336 divisors, whose sum is σ = 85709172439800. Its totient is φ = 13660876800000.

The previous prime is 34222303999991. The next prime is 34222304000047. The reversal of 34222304000000 is 40322243.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 23455999271 + ... + 23456000729.

Almost surely, 2^{34222304000000} 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 34222304000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42854586219900).

34222304000000 is an abundant number, since it is smaller than the sum of its proper divisors (51486868439800).

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

34222304000000 is an frugal number, since it uses more digits than its factorization.

34222304000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2244 (or 2199 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 34222304000000 its reverse (40322243), we get a palindrome (34222344322243).

The spelling of 34222304000000 in words is "thirty-four trillion, two hundred twenty-two billion, three hundred four million", and thus it is an aban number.