34001300322 has 72 divisors (see below), whose sum is σ = 81018035280. Its totient is φ = 10298019600.

The previous prime is 34001300321. The next prime is 34001300323. The reversal of 34001300322 is 22300310043.

34001300322 is a `hidden beast` number, since 3 + 40 + 0 + 1 + 300 + 322 = 666.

It is an interprime number because it is at equal distance from previous prime (34001300321) and next prime (34001300323).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 34001300295 and 34001300304.

It is not an unprimeable number, because it can be changed into a prime (34001300321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6572797 + ... + 6577967.

It is an arithmetic number, because the mean of its divisors is an integer number (1125250490).

Almost surely, 2^34001300322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34001300322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40509017640).

34001300322 is an abundant number, since it is smaller than the sum of its proper divisors (47016734958).

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

34001300322 is a wasteful number, since it uses less digits than its factorization.

34001300322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8220 (or 8206 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 34001300322 its reverse (22300310043), we get a palindrome (56301610365).

The spelling of 34001300322 in words is "thirty-four billion, one million, three hundred thousand, three hundred twenty-two".